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56892948480 = 2153551429
BaseRepresentation
bin110100111111000101…
…011000000000000000
312102211222010020100000
4310333011120000000
51413004043322410
642045233200000
74052601040314
oct647705300000
9172758106300
1056892948480
112214564a295
12b039400000
135498b33674
142a79d81b44
15172eab4dc0
hexd3f158000

56892948480 has 384 divisors, whose sum is σ = 204673669200. Its totient is φ = 15160836096.

The previous prime is 56892948407. The next prime is 56892948491. The reversal of 56892948480 is 8484929865.

56892948480 is a `hidden beast` number, since 5 + 68 + 9 + 2 + 94 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39812406 + ... + 39813834.

Almost surely, 256892948480 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 56892948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102336834600).

56892948480 is an abundant number, since it is smaller than the sum of its proper divisors (147780720720).

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

56892948480 is an frugal number, since it uses more digits than its factorization.

56892948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 56892948480 in words is "fifty-six billion, eight hundred ninety-two million, nine hundred forty-eight thousand, four hundred eighty".