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56500611168 = 2536715435693
BaseRepresentation
bin110100100111101100…
…101110100001100000
312101211121212102201110
4310213230232201200
51411203124024133
641542300103320
74040065161621
oct644754564140
9171747772643
1056500611168
1121a64138481
12ab49b34b40
135435775b01
142a3dc13a48
15170a416c63
hexd27b2e860

56500611168 has 96 divisors (see below), whose sum is σ = 150651760896. Its totient is φ = 18537159168.

The previous prime is 56500611157. The next prime is 56500611187. The reversal of 56500611168 is 86111600565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9921730 + ... + 9927422.

It is an arithmetic number, because the mean of its divisors is an integer number (1569289176).

Almost surely, 256500611168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56500611168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75325880448).

56500611168 is an abundant number, since it is smaller than the sum of its proper divisors (94151149728).

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

56500611168 is a wasteful number, since it uses less digits than its factorization.

56500611168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 56500611168 in words is "fifty-six billion, five hundred million, six hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1543 1608 2144 3086 3216 4629 5693 6172 6432 9258 11386 12344 17079 18516 22772 24688 34158 37032 45544 49376 68316 74064 91088 103381 136632 148128 182176 206762 273264 310143 381431 413524 546528 620286 762862 827048 1144293 1240572 1525724 1654096 2288586 2481144 3051448 3308192 4577172 4962288 6102896 8784299 9154344 9924576 12205792 17568598 18308688 26352897 35137196 36617376 52705794 70274392 105411588 140548784 210823176 281097568 421646352 588548033 843292704 1177096066 1765644099 2354192132 3531288198 4708384264 7062576396 9416768528 14125152792 18833537056 28250305584 56500611168