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57464258436 = 223313311498861
BaseRepresentation
bin110101100001001000…
…101111111110000100
312111022210010210021000
4311201020233332010
51420141322232221
642222042253300
74103006065104
oct654110577604
9174283123230
1057464258436
1122409091982
12b1787b7230
13555a2c55b0
142ad1bbb204
151764d16e26
hexd6122ff84

57464258436 has 192 divisors, whose sum is σ = 166747392000. Its totient is φ = 16994188800.

The previous prime is 57464258431. The next prime is 57464258447. The reversal of 57464258436 is 63485246475.

57464258436 is a `hidden beast` number, since 57 + 4 + 6 + 4 + 2 + 584 + 3 + 6 = 666.

57464258436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57464258431) 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, 6480646 + ... + 6489506.

It is an arithmetic number, because the mean of its divisors is an integer number (868476000).

Almost surely, 257464258436 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 57464258436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83373696000).

57464258436 is an abundant number, since it is smaller than the sum of its proper divisors (109283133564).

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

57464258436 is a wasteful number, since it uses less digits than its factorization.

57464258436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9059 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 57464258436 in words is "fifty-seven billion, four hundred sixty-four million, two hundred fifty-eight thousand, four hundred thirty-six".