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56101600116 = 22323121621621
BaseRepresentation
bin110100001111111010…
…100111101101110100
312100210211001120110100
4310033322213231310
51404344002200431
641434523554100
74024151506242
oct641772475564
9170724046410
1056101600116
1121879988581
12aa5838b930
1353a0bbc6b3
142a02c29792
1516d539b4e6
hexd0fea7b74

56101600116 has 54 divisors (see below), whose sum is σ = 146534628786. Its totient is φ = 18097279200.

The previous prime is 56101600103. The next prime is 56101600117. The reversal of 56101600116 is 61100610165.

56101600116 is a `hidden beast` number, since 56 + 1 + 0 + 1 + 600 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40802384016 + 15299216100 = 201996^2 + 123690^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56101600116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56101600117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 776215 + ... + 845406.

Almost surely, 256101600116 is an apocalyptic number.

It is an amenable number.

56101600116 is an abundant number, since it is smaller than the sum of its proper divisors (90433028670).

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

56101600116 is a wasteful number, since it uses less digits than its factorization.

56101600116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621693 (or 1621657 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 56101600116 in words is "fifty-six billion, one hundred one million, six hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 11532 17298 34596 1621621 3243242 4864863 6486484 9729726 14594589 19459452 29189178 50270251 58378356 100540502 150810753 201081004 301621506 452432259 603243012 904864518 1558377781 1809729036 3116755562 4675133343 6233511124 9350266686 14025400029 18700533372 28050800058 56101600116