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56934015372 = 223313113358861
BaseRepresentation
bin110101000001100010…
…000010000110001100
312102221211101122112000
4311001202002012030
51413100101442442
642053301312300
74053610101003
oct650142020614
9172854348460
1056934015372
1122166849473
12b04b105690
1354a44b19c0
142a815d1c3a
1517334c7d4c
hexd4188218c

56934015372 has 96 divisors (see below), whose sum is σ = 160368250560. Its totient is φ = 17363082240.

The previous prime is 56934015329. The next prime is 56934015373. The reversal of 56934015372 is 27351043965.

56934015372 is a `hidden beast` number, since 569 + 3 + 4 + 0 + 15 + 3 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56934015373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20779 + ... + 338082.

It is an arithmetic number, because the mean of its divisors is an integer number (1670502610).

Almost surely, 256934015372 is an apocalyptic number.

56934015372 is a gapful number since it is divisible by the number (52) 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 56934015372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80184125280).

56934015372 is an abundant number, since it is smaller than the sum of its proper divisors (103434235188).

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

56934015372 is a wasteful number, since it uses less digits than its factorization.

56934015372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359000 (or 358992 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56934015372 in words is "fifty-six billion, nine hundred thirty-four million, fifteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 113 117 156 226 234 339 351 452 468 678 702 1017 1356 1404 1469 2034 2938 3051 4068 4407 5876 6102 8814 12204 13221 17628 26442 39663 52884 79326 158652 358861 717722 1076583 1435444 2153166 3229749 4306332 4665193 6459498 9330386 9689247 12918996 13995579 18660772 19378494 27991158 38756988 40551293 41986737 55982316 81102586 83973474 121653879 125960211 162205172 167946948 243307758 251920422 364961637 486615516 503840844 527166809 729923274 1054333618 1094884911 1459846548 1581500427 2108667236 2189769822 3163000854 4379539644 4744501281 6326001708 9489002562 14233503843 18978005124 28467007686 56934015372