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56157696163872 = 25362407308649
BaseRepresentation
bin11001100010011001110111…
…00010000000000000100000
321100211121211101211222000000
430301030323202000000200
524330041430204220442
6315234253420300000
714554155030256152
oct1461147342000040
9240747741758000
1056157696163872
11169913885024a6
12636b8a29a1600
132544856933434
14dc2092d60ad2
15675bcd1a6d4c
hex33133b880020

56157696163872 has 84 divisors (see below), whose sum is σ = 165764866330350. Its totient is φ = 18719232046848.

The previous prime is 56157696163867. The next prime is 56157696163939. The reversal of 56157696163872 is 27836169675165.

56157696163872 is a `hidden beast` number, since 5 + 6 + 1 + 576 + 9 + 6 + 16 + 38 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54295028042256 + 1862668121616 = 7368516^2 + 1364796^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 56157696163872.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1203630997 + ... + 1203677652.

Almost surely, 256157696163872 is an apocalyptic number.

It is an amenable number.

56157696163872 is an abundant number, since it is smaller than the sum of its proper divisors (109607170166478).

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

56157696163872 is an equidigital number, since it uses as much as digits as its factorization.

56157696163872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407308677 (or 2407308654 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 56157696163872 in words is "fifty-six trillion, one hundred fifty-seven billion, six hundred ninety-six million, one hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 2407308649 4814617298 7221925947 9629234596 14443851894 19258469192 21665777841 28887703788 38516938384 43331555682 57775407576 64997333523 77033876768 86663111364 115550815152 129994667046 173326222728 194992000569 231101630304 259989334092 346652445456 389984001138 519978668184 584976001707 693304890912 779968002276 1039957336368 1169952003414 1559936004552 1754928005121 2079914672736 2339904006828 3119872009104 3509856010242 4679808013656 6239744018208 7019712020484 9359616027312 14039424040968 18719232054624 28078848081936 56157696163872