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57342139920 = 243351315713007
BaseRepresentation
bin110101011001110110…
…111001111000010000
312111000021100112011000
4311121312321320100
51414414041434140
642202001022000
74066664101332
oct653166717020
9174007315130
1057342139920
112235616348a
12b143924900
13553ac09310
142abd8ad452
151759243a30
hexd59db9e10

57342139920 has 320 divisors, whose sum is σ = 214076298240. Its totient is φ = 14024005632.

The previous prime is 57342139913. The next prime is 57342139927. The reversal of 57342139920 is 2993124375.

57342139920 is a `hidden beast` number, since 573 + 4 + 21 + 39 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (57342139913) and next prime (57342139927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57342139927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4402057 + ... + 4415063.

It is an arithmetic number, because the mean of its divisors is an integer number (668988432).

Almost surely, 257342139920 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 57342139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107038149120).

57342139920 is an abundant number, since it is smaller than the sum of its proper divisors (156734158320).

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

57342139920 is a wasteful number, since it uses less digits than its factorization.

57342139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13199 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 57342139920 in words is "fifty-seven billion, three hundred forty-two million, one hundred thirty-nine thousand, nine hundred twenty".