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57257155488 = 253132912712457
BaseRepresentation
bin110101010100110010…
…101101101110100000
312110210100102212102110
4311110302231232200
51414230312433423
642145323315320
74064612535321
oct652462555640
9173710385373
1057257155488
1122312198415
12b11b37bb40
135526422280
142ab24aa448
151751a58193
hexd54cadba0

57257155488 has 192 divisors, whose sum is σ = 168775004160. Its totient is φ = 16874790912.

The previous prime is 57257155477. The next prime is 57257155499. The reversal of 57257155488 is 88455175275.

57257155488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57257155477) and next prime (57257155499).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4590156 + ... + 4602612.

It is an arithmetic number, because the mean of its divisors is an integer number (879036480).

Almost surely, 257257155488 is an apocalyptic number.

57257155488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57257155488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84387502080).

57257155488 is an abundant number, since it is smaller than the sum of its proper divisors (111517848672).

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

57257155488 is a wasteful number, since it uses less digits than its factorization.

57257155488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12631 counting only the distinct ones).

The product of its digits is 15680000, while the sum is 57.

The spelling of 57257155488 in words is "fifty-seven billion, two hundred fifty-seven million, one hundred fifty-five thousand, four hundred eighty-eight".