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57055760064 = 2632419724907
BaseRepresentation
bin110101001000110010…
…011100111011000000
312110021022110220211200
4311020302130323000
51413322233310224
642113330541200
74056615646542
oct651062347300
9173238426750
1057055760064
1122219542016
12b083a37800
1354c3799a94
142a93843692
15173e0255c9
hexd48c9cec0

57055760064 has 168 divisors, whose sum is σ = 169262712528. Its totient is φ = 18362695680.

The previous prime is 57055760051. The next prime is 57055760081. The reversal of 57055760064 is 46006755075.

57055760064 is a `hidden beast` number, since 5 + 70 + 5 + 576 + 0 + 0 + 6 + 4 = 666.

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, 2278299 + ... + 2303205.

It is an arithmetic number, because the mean of its divisors is an integer number (1007516146).

Almost surely, 257055760064 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 57055760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84631356264).

57055760064 is an abundant number, since it is smaller than the sum of its proper divisors (112206952464).

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

57055760064 is a wasteful number, since it uses less digits than its factorization.

57055760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25063 (or 25050 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 57055760064 in words is "fifty-seven billion, fifty-five million, seven hundred sixty thousand, sixty-four".