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56522077920 = 25325711736983
BaseRepresentation
bin110100101000111110…
…100111011011100000
312101220010021001120100
4310220332213123200
51411224122443140
641544344142400
74040445510120
oct645076473340
9171803231510
1056522077920
1121a7526a7a0
12ab55167a00
13543a050a29
142a42a00c80
15170c257530
hexd28fa76e0

56522077920 has 576 divisors, whose sum is σ = 243804847104. Its totient is φ = 11582300160.

The previous prime is 56522077907. The next prime is 56522077987. The reversal of 56522077920 is 2977022565.

56522077920 is a `hidden beast` number, since 56 + 522 + 0 + 7 + 79 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8090749 + ... + 8097731.

It is an arithmetic number, because the mean of its divisors is an integer number (423272304).

Almost surely, 256522077920 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 56522077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121902423552).

56522077920 is an abundant number, since it is smaller than the sum of its proper divisors (187282769184).

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

56522077920 is a wasteful number, since it uses less digits than its factorization.

56522077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 56522077920 in words is "fifty-six billion, five hundred twenty-two million, seventy-seven thousand, nine hundred twenty".