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56631035538 = 232711313134211
BaseRepresentation
bin110100101111011110…
…010000011010010010
312102011201021200022200
4310233132100122102
51411440021114123
642003235344030
74043240600610
oct645736203222
9172151250280
1056631035538
112202081a210
12ab85752016
1354567ac7ac
142a532846b0
151716acb143
hexd2f790692

56631035538 has 192 divisors, whose sum is σ = 158454226944. Its totient is φ = 14186016000.

The previous prime is 56631035521. The next prime is 56631035543. The reversal of 56631035538 is 83553013665.

It is a happy number.

56631035538 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 103 + 5 + 538 = 666.

56631035538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×566310355382 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56631035493 and 56631035502.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13446253 + ... + 13450463.

It is an arithmetic number, because the mean of its divisors is an integer number (825282432).

Almost surely, 256631035538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56631035538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79227113472).

56631035538 is an abundant number, since it is smaller than the sum of its proper divisors (101823191406).

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

56631035538 is a wasteful number, since it uses less digits than its factorization.

56631035538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 56631035538 in words is "fifty-six billion, six hundred thirty-one million, thirty-five thousand, five hundred thirty-eight".