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57164614740 = 22325317581193
BaseRepresentation
bin110101001111010001…
…101100110001010100
312110112220022022101100
4311033101230301110
51414033120132430
642132220030100
74062410131242
oct651721546124
9173486268340
1057164614740
1122274a31162
12b0b4392330
1355101c0a2c
142aa409b792
151748878960
hexd4f46cc54

57164614740 has 36 divisors (see below), whose sum is σ = 173399331924. Its totient is φ = 15243897216.

The previous prime is 57164614723. The next prime is 57164614747. The reversal of 57164614740 is 4741646175.

57164614740 is a `hidden beast` number, since 571 + 6 + 4 + 6 + 1 + 4 + 74 + 0 = 666.

57164614740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28187723664 + 28976891076 = 167892^2 + 170226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57164614747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158790417 + ... + 158790776.

It is an arithmetic number, because the mean of its divisors is an integer number (4816648109).

Almost surely, 257164614740 is an apocalyptic number.

It is an amenable number.

57164614740 is an abundant number, since it is smaller than the sum of its proper divisors (116234717184).

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

57164614740 is a wasteful number, since it uses less digits than its factorization.

57164614740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317581208 (or 317581203 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57164614740 in words is "fifty-seven billion, one hundred sixty-four million, six hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317581193 635162386 952743579 1270324772 1587905965 1905487158 2858230737 3175811930 3810974316 4763717895 5716461474 6351623860 9527435790 11432922948 14291153685 19054871580 28582307370 57164614740