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231627523606480 = 245174119321523361
BaseRepresentation
bin110100101010100111111100…
…010000111100011111010000
31010101010101010101010101010101
4310222213330100330133100
5220324441132020401410
62140344114303542144
766534351651300541
oct6452477420743720
91111111111111111
10231627523606480
1167892754616801
1221b8ab70bba954
139c324c6933931
14412ab90c7c4c8
151bba26b95ed3a
hexd2a9fc43c7d0

231627523606480 has 160 divisors (see below), whose sum is σ = 587146639772448. Its totient is φ = 84633295257600.

The previous prime is 231627523606397. The next prime is 231627523606487. The reversal of 231627523606480 is 84606325726132.

It is a happy number.

231627523606480 is nontrivially palindromic in base 3 and base 9.

231627523606480 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

231627523606480 is a nontrivial binomial coefficient, being equal to C(21523361, 2).

It can be written as a sum of positive squares in 16 ways, for example, as 188725390405696 + 42902133200784 = 13737736^2 + 6549972^2 .

231627523606480 is an undulating number in base 3.

231627523606480 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231627523606487) by changing a digit.

It is a nontrivial repunit in base 9.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 21523360.

Almost surely, 2231627523606480 is an apocalyptic number.

231627523606480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

231627523606480 is the 21523360-th triangular number.

231627523606480 is the 7174454-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231627523606480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293573319886224).

231627523606480 is an abundant number, since it is smaller than the sum of its proper divisors (355519116165968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231627523606480 is a wasteful number, since it uses less digits than its factorization.

231627523606480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523625 (or 21523619 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 231627523606480 in words is "two hundred thirty-one trillion, six hundred twenty-seven billion, five hundred twenty-three million, six hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 193 205 272 328 340 386 410 656 680 697 772 820 965 1360 1394 1544 1640 1930 2788 3088 3280 3281 3485 3860 5576 6562 6970 7720 7913 11152 13124 13940 15440 15826 16405 26248 27880 31652 32810 39565 52496 55760 63304 65620 79130 126608 131240 134521 158260 262480 269042 316520 538084 633040 672605 1076168 1345210 2152336 2690420 5380840 10761680 21523361 43046722 86093444 107616805 172186888 215233610 344373776 365897137 430467220 731794274 860934440 882457801 1463588548 1721868880 1764915602 1829485685 2927177096 3529831204 3658971370 4154008673 4412289005 5854354192 7059662408 7317942740 8308017346 8824578010 14119324816 14635885480 15001782617 16616034692 17649156020 20770043365 29271770960 30003565234 33232069384 35298312040 41540086730 60007130468 66464138768 70596624080 70618147441 75008913085 83080173460 120014260936 141236294882 150017826170 166160346920 170314355593 240028521872 282472589764 300035652340 332320693840 340628711186 353090737205 564945179528 600071304680 681257422372 706181474410 851571777965 1129890359056 1200142609360 1362514844744 1412362948820 1703143555930 2725029689488 2824725897640 2895344045081 3406287111860 5649451795280 5790688090162 6812574223720 11581376180324 13625148447440 14476720225405 23162752360648 28953440450810 46325504721296 57906880901620 115813761803240 231627523606480