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56784031920 = 24325711293113
BaseRepresentation
bin110100111000100101…
…111001000010110000
312102120101011200220100
4310320211321002300
51412243203010140
642030342512400
74050106210320
oct647045710260
9172511150810
1056784031920
112209a118700
12b008a35700
13547c3ba4b5
142a6970d280
15172524d530
hexd389790b0

56784031920 has 360 divisors, whose sum is σ = 239559229728. Its totient is φ = 11799152640.

The previous prime is 56784031903. The next prime is 56784031933. The reversal of 56784031920 is 2913048765.

56784031920 is a `hidden beast` number, since 56 + 7 + 8 + 403 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 563284 + ... + 656396.

It is a 1-persistent number, because it is pandigital, but 2⋅56784031920 = 113568063840 is not.

Almost surely, 256784031920 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 56784031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119779614864).

56784031920 is an abundant number, since it is smaller than the sum of its proper divisors (182775197808).

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

56784031920 is a wasteful number, since it uses less digits than its factorization.

56784031920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93161 (or 93141 counting only the distinct ones).

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

The spelling of 56784031920 in words is "fifty-six billion, seven hundred eighty-four million, thirty-one thousand, nine hundred twenty".