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56501341536 = 2531135208457
BaseRepresentation
bin110100100111101111…
…100000110101100000
312101211200020112121010
4310213233200311200
51411203320412121
641542323500520
74040104323153
oct644757406540
9171750215533
1056501341536
1121a64597192
12ab4a227740
135435970393
142a3dd63c9a
15170a50d376
hexd27be0d60

56501341536 has 48 divisors (see below), whose sum is σ = 149628581424. Its totient is φ = 18667106304.

The previous prime is 56501341483. The next prime is 56501341549. The reversal of 56501341536 is 63514310565.

56501341536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 56501341494 and 56501341503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2593381 + ... + 2615076.

It is an arithmetic number, because the mean of its divisors is an integer number (3117262113).

Almost surely, 256501341536 is an apocalyptic number.

It is an amenable number.

56501341536 is an abundant number, since it is smaller than the sum of its proper divisors (93127239888).

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

56501341536 is a wasteful number, since it uses less digits than its factorization.

56501341536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5208583 (or 5208575 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 56501341536 in words is "fifty-six billion, five hundred one million, three hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 5208457 10416914 15625371 20833828 31250742 41667656 62501484 83335312 125002968 166670624 250005936 500011872 588555641 1177111282 1765666923 2354222564 3531333846 4708445128 7062667692 9416890256 14125335384 18833780512 28250670768 56501341536