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27343275263720 = 235133710691329437
BaseRepresentation
bin1100011011110010110100…
…01101011000011011101000
310120210222202212101200110022
412031321122031120123220
512040443011431414340
6134053154403540012
75521325564624213
oct615713215303350
9116728685350408
1027343275263720
118792244059839
12309738768a608
1312345c9221690
146a75c8b8077a
153263dc0443b5
hex18de5a3586e8

27343275263720 has 128 divisors (see below), whose sum is σ = 68109235840800. Its totient is φ = 9813917822976.

The previous prime is 27343275263701. The next prime is 27343275263767. The reversal of 27343275263720 is 2736257234372.

It can be written as a sum of positive squares in 16 ways, for example, as 8363189718724 + 18980085544996 = 2891918^2 + 4356614^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19902842 + ... + 21232278.

Almost surely, 227343275263720 is an apocalyptic number.

27343275263720 is a gapful number since it is divisible by the number (20) 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 27343275263720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34054617920400).

27343275263720 is an abundant number, since it is smaller than the sum of its proper divisors (40765960577080).

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

27343275263720 is a wasteful number, since it uses less digits than its factorization.

27343275263720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330567 (or 1330563 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 53.

The spelling of 27343275263720 in words is "twenty-seven trillion, three hundred forty-three billion, two hundred seventy-five million, two hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1069 1480 1924 2138 2405 3848 4276 4810 5345 8552 9620 10690 13897 19240 21380 27794 39553 42760 55588 69485 79106 111176 138970 158212 197765 277940 316424 395530 514189 555880 791060 1028378 1329437 1582120 2056756 2570945 2658874 4113512 5141890 5317748 6647185 10283780 10635496 13294370 17282681 20567560 26588740 34565362 49189169 53177480 69130724 86413405 98378338 138261448 172826810 196756676 245945845 345653620 393513352 491891690 639459197 691307240 983783380 1278918394 1421168153 1967566760 2557836788 2842336306 3197295985 5115673576 5684672612 6394591970 7105840765 11369345224 12789183940 14211681530 18475185989 25578367880 28423363060 36950371978 52583221661 56846726120 73900743956 92375929945 105166443322 147801487912 184751859890 210332886644 262916108305 369503719780 420665773288 525832216610 683581881593 739007439560 1051664433220 1367163763186 2103328866440 2734327526372 3417909407965 5468655052744 6835818815930 13671637631860 27343275263720