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56578033632 = 2534313705919
BaseRepresentation
bin110100101100010100…
…000100011111100000
312102001000112220101010
4310230110010133200
51411332434034012
641554103340520
74042025231241
oct645424043740
9172030486333
1056578033632
1121aa390908a
12ab6ba51740
135448812c13
142a4a208cc8
15171210bc3c
hexd2c5047e0

56578033632 has 48 divisors (see below), whose sum is σ = 151971240960. Its totient is φ = 18420753792.

The previous prime is 56578033573. The next prime is 56578033649. The reversal of 56578033632 is 23633087565.

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

It is a super-3 number, since 3×565780336323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6848832 + ... + 6857087.

It is an arithmetic number, because the mean of its divisors is an integer number (3166067520).

Almost surely, 256578033632 is an apocalyptic number.

It is an amenable number.

56578033632 is an abundant number, since it is smaller than the sum of its proper divisors (95393207328).

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

56578033632 is a wasteful number, since it uses less digits than its factorization.

56578033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705975 (or 13705967 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 56578033632 in words is "fifty-six billion, five hundred seventy-eight million, thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 13705919 27411838 41117757 54823676 82235514 109647352 164471028 219294704 328942056 438589408 589354517 657884112 1178709034 1315768224 1768063551 2357418068 3536127102 4714836136 7072254204 9429672272 14144508408 18859344544 28289016816 56578033632