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56687800320 = 212335313307
BaseRepresentation
bin110100110010110110…
…110011000000000000
312102022200002121222000
4310302312303000000
51412044034102240
642013024144000
74044530231604
oct646266630000
9172280077860
1056687800320
112204a870458
12aba0768000
135465496018
142a5aa1d504
15171ba90430
hexd32db3000

56687800320 has 416 divisors, whose sum is σ = 208095959040. Its totient is φ = 14624686080.

The previous prime is 56687800319. The next prime is 56687800331. The reversal of 56687800320 is 2300878665.

56687800320 is a `hidden beast` number, since 566 + 8 + 7 + 80 + 0 + 3 + 2 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 17140107 + ... + 17143413.

Almost surely, 256687800320 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 56687800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104047979520).

56687800320 is an abundant number, since it is smaller than the sum of its proper divisors (151408158720).

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

56687800320 is a wasteful number, since it uses less digits than its factorization.

56687800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56687800320 in words is "fifty-six billion, six hundred eighty-seven million, eight hundred thousand, three hundred twenty".