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56922873120 = 2534547113827
BaseRepresentation
bin110101000000110111…
…100001110100100000
312102221001102120020000
4311000313201310200
51413034223414440
642052222420000
74053413303211
oct650067416440
9172831376200
1056922873120
11221605290a3
12b047431600
1354a20b0259
142a7dd31408
151732526730
hexd40de1d20

56922873120 has 480 divisors, whose sum is σ = 207230462208. Its totient is φ = 14707187712.

The previous prime is 56922873109. The next prime is 56922873157. The reversal of 56922873120 is 2137822965.

56922873120 is a `hidden beast` number, since 56 + 9 + 2 + 287 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68830147 + ... + 68830973.

Almost surely, 256922873120 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 56922873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103615231104).

56922873120 is an abundant number, since it is smaller than the sum of its proper divisors (150307589088).

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

56922873120 is a wasteful number, since it uses less digits than its factorization.

56922873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56922873120 in words is "fifty-six billion, nine hundred twenty-two million, eight hundred seventy-three thousand, one hundred twenty".