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56131930008 = 233272112235717
BaseRepresentation
bin110100010001101110…
…010100011110011000
312100212221010111020200
4310101232110132120
51404424233230013
641441530022200
74025000350500
oct642156243630
9170787114220
1056131930008
1121895013900
12aa66577960
1353a727b88b
142a06c82a00
1516d7d8ce73
hexd11b94798

56131930008 has 432 divisors, whose sum is σ = 202869379440. Its totient is φ = 13943381760.

The previous prime is 56131929967. The next prime is 56131930013. The reversal of 56131930008 is 80003913165.

It is a happy number.

56131930008 is a `hidden beast` number, since 5 + 613 + 1 + 9 + 30 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 9815566 + ... + 9821282.

It is an arithmetic number, because the mean of its divisors is an integer number (469605045).

Almost surely, 256131930008 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 56131930008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101434689720).

56131930008 is an abundant number, since it is smaller than the sum of its proper divisors (146737449432).

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

56131930008 is a wasteful number, since it uses less digits than its factorization.

56131930008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 56131930008 in words is "fifty-six billion, one hundred thirty-one million, nine hundred thirty thousand, eight".