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56918723904 = 2632779178693
BaseRepresentation
bin110101000000100111…
…101100110101000000
312102220202121202120100
4311000213230311000
51413032143131104
642051553442400
74053333112320
oct650047546500
9172822552510
1056918723904
1122159154799
12b045b70400
1354a12897b3
142a7d571280
151731ea7139
hexd409ecd40

56918723904 has 168 divisors, whose sum is σ = 188815228160. Its totient is φ = 16056548352.

The previous prime is 56918723899. The next prime is 56918723923. The reversal of 56918723904 is 40932781965.

56918723904 is a `hidden beast` number, since 569 + 1 + 8 + 72 + 3 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×569187239042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229182 + ... + 407874.

It is a 1-persistent number, because it is pandigital, but 2⋅56918723904 = 113837447808 is not.

Almost surely, 256918723904 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 56918723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94407614080).

56918723904 is an abundant number, since it is smaller than the sum of its proper divisors (131896504256).

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

56918723904 is a wasteful number, since it uses less digits than its factorization.

56918723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178797 (or 178784 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 56918723904 in words is "fifty-six billion, nine hundred eighteen million, seven hundred twenty-three thousand, nine hundred four".