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12664304604 = 22327211296359
BaseRepresentation
bin10111100101101100…
…11111001111011100
31012200121010022221200
423302312133033130
5201414030221404
65452355555500
7625555545600
oct136266371734
935617108850
1012664304604
115409740546
1225552bbb90
13126a986783
14881d43500
154e1c41839
hex2f2d9f3dc

12664304604 has 108 divisors (see below), whose sum is σ = 37277931600. Its totient is φ = 3614599296.

The previous prime is 12664304603. The next prime is 12664304621. The reversal of 12664304604 is 40640346621.

12664304604 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 43 + 0 + 4 + 604 = 666.

It is a super-2 number, since 2×126643046042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664304603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1988377 + ... + 1994735.

Almost surely, 212664304604 is an apocalyptic number.

12664304604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12664304604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638965800).

12664304604 is an abundant number, since it is smaller than the sum of its proper divisors (24613626996).

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

12664304604 is a wasteful number, since it uses less digits than its factorization.

12664304604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12664304604 in words is "twelve billion, six hundred sixty-four million, three hundred four thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1129 1764 2258 3387 4516 6359 6774 7903 10161 12718 13548 15806 19077 20322 23709 25436 31612 38154 40644 44513 47418 55321 57231 71127 76308 89026 94836 110642 114462 133539 142254 165963 178052 221284 228924 267078 284508 311591 331926 400617 497889 534156 623182 663852 801234 934773 995778 1246364 1602468 1869546 1991556 2804319 3739092 5608638 7179311 11217276 14358622 21537933 28717244 43075866 50255177 64613799 86151732 100510354 129227598 150765531 201020708 258455196 301531062 351786239 452296593 603062124 703572478 904593186 1055358717 1407144956 1809186372 2110717434 3166076151 4221434868 6332152302 12664304604