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56100105610056 = 23327110974199063
BaseRepresentation
bin11001100000101110100101…
…10111011110001101001000
321100122010011211001201001100
430300113102313132031020
524323121004014010211
6315152011023021400
714550045625526664
oct1460272267361510
9240563154051040
1056100105610056
1116969a150a9a82
1263606aba3a860
13253c2a941b661
14dbd38c4a98a4
1567445c244156
hex3305d2dde348

56100105610056 has 48 divisors (see below), whose sum is σ = 154077754858560. Its totient is φ = 18436654424160.

The previous prime is 56100105610037. The next prime is 56100105610067. The reversal of 56100105610056 is 65001650100165.

56100105610056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56100105610056.

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 11 ways as a sum of consecutive naturals, for example, 5487094420 + ... + 5487104643.

It is an arithmetic number, because the mean of its divisors is an integer number (3209953226220).

Almost surely, 256100105610056 is an apocalyptic number.

It is an amenable number.

56100105610056 is an abundant number, since it is smaller than the sum of its proper divisors (97977649248504).

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

56100105610056 is a wasteful number, since it uses less digits than its factorization.

56100105610056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974199146 (or 10974199139 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 56100105610056 in words is "fifty-six trillion, one hundred billion, one hundred five million, six hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 10974199063 21948398126 32922597189 43896796252 65845194378 87793592504 98767791567 131690388756 197535583134 263380777512 395071166268 779168133473 790142332536 1558336266946 2337504400419 3116672533892 4675008800838 6233345067784 7012513201257 9350017601676 14025026402514 18700035203352 28050052805028 56100105610056