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56709395568 = 24337971031877
BaseRepresentation
bin110100110100001001…
…001011010001110000
312102101011201210002000
4310310021023101300
51412120101124233
642015115054000
74045211623530
oct646411132160
9172334653060
1056709395568
1122060a80271
12aba7a41300
135469ab7587
142a5d8414c0
15171d908d13
hexd3424b470

56709395568 has 320 divisors, whose sum is σ = 189874513920. Its totient is φ = 15871500288.

The previous prime is 56709395543. The next prime is 56709395569. The reversal of 56709395568 is 86559390765.

56709395568 is a `hidden beast` number, since 5 + 6 + 70 + 9 + 3 + 9 + 556 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56709395569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30211846 + ... + 30213722.

It is an arithmetic number, because the mean of its divisors is an integer number (593357856).

Almost surely, 256709395568 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 56709395568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94937256960).

56709395568 is an abundant number, since it is smaller than the sum of its proper divisors (133165118352).

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

56709395568 is a wasteful number, since it uses less digits than its factorization.

56709395568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 56709395568 in words is "fifty-six billion, seven hundred nine million, three hundred ninety-five thousand, five hundred sixty-eight".