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56829264912 = 243271741471721
BaseRepresentation
bin110100111011010010…
…011100010000010000
312102200112021202220100
4310323102130100100
51412341242434122
642035040212400
74051165532040
oct647322342020
9172615252810
1056829264912
1122112702942
12b02000a100
135488896b94
142a71725720
1517291d5aac
hexd3b49c410

56829264912 has 480 divisors, whose sum is σ = 201461105664. Its totient is φ = 14583398400.

The previous prime is 56829264901. The next prime is 56829264949. The reversal of 56829264912 is 21946292865.

56829264912 is a `hidden beast` number, since 5 + 68 + 2 + 92 + 6 + 491 + 2 = 666.

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, 33020212 + ... + 33021932.

Almost surely, 256829264912 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 56829264912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100730552832).

56829264912 is an abundant number, since it is smaller than the sum of its proper divisors (144631840752).

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

56829264912 is a wasteful number, since it uses less digits than its factorization.

56829264912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1838 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 56829264912 in words is "fifty-six billion, eight hundred twenty-nine million, two hundred sixty-four thousand, nine hundred twelve".