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56725297920 = 28365313753
BaseRepresentation
bin110100110101000101…
…110101101100000000
312102102021122201000000
4310311011311230000
51412133134013140
642020444000000
74045464035214
oct646505655400
9172367581000
1056725297920
1122069a51a05
12abb1230000
135470194855
142a619c0944
15171eeeaa30
hexd35175b00

56725297920 has 1008 divisors, whose sum is σ = 220049125632. Its totient is φ = 13974405120.

The previous prime is 56725297919. The next prime is 56725297933. The reversal of 56725297920 is 2979252765.

56725297920 is a `hidden beast` number, since 567 + 2 + 5 + 2 + 9 + 79 + 2 + 0 = 666.

It is a super-2 number, since 2×567252979202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1070288614 + ... + 1070288666.

It is an arithmetic number, because the mean of its divisors is an integer number (218302704).

Almost surely, 256725297920 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 56725297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024562816).

56725297920 is an abundant number, since it is smaller than the sum of its proper divisors (163323827712).

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

56725297920 is an equidigital number, since it uses as much as digits as its factorization.

56725297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 56725297920 in words is "fifty-six billion, seven hundred twenty-five million, two hundred ninety-seven thousand, nine hundred twenty".