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56856145216 = 261369719803
BaseRepresentation
bin110100111100111000…
…111110110101000000
312102202101212102202011
4310330320332311000
51412420133121331
642041440302304
74051643155213
oct647470766500
9172671772664
1056856145216
11221268a2472
12b029011994
135491318ba0
142a7512177a
15172b7453b1
hexd3ce3ed40

56856145216 has 56 divisors (see below), whose sum is σ = 121532501664. Its totient is φ = 26234856960.

The previous prime is 56856145207. The next prime is 56856145217. The reversal of 56856145216 is 61254165865.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56856145216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56856145217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5794971 + ... + 5804773.

It is an arithmetic number, because the mean of its divisors is an integer number (2170223244).

Almost surely, 256856145216 is an apocalyptic number.

It is an amenable number.

56856145216 is an abundant number, since it is smaller than the sum of its proper divisors (64676356448).

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

56856145216 is a wasteful number, since it uses less digits than its factorization.

56856145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16799 (or 16789 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 49.

The spelling of 56856145216 in words is "fifty-six billion, eight hundred fifty-six million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 6971 9803 13942 19606 27884 39212 55768 78424 90623 111536 127439 156848 181246 223072 254878 313696 362492 446144 509756 627392 724984 1019512 1449968 2039024 2899936 4078048 5799872 8156096 68336713 136673426 273346852 546693704 888377269 1093387408 1776754538 2186774816 3553509076 4373549632 7107018152 14214036304 28428072608 56856145216