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57164474484 = 223213122146313
BaseRepresentation
bin110101001111010001…
…001010100001110100
312110112220001011222200
4311033101022201310
51414033101140414
642132213024500
74062406005315
oct651721124164
9173486034880
1057164474484
1122274945847
12b0b4325130
135510171c40
142aa406260c
15174884c109
hexd4f44a874

57164474484 has 36 divisors (see below), whose sum is σ = 155614404036. Its totient is φ = 17589068928.

The previous prime is 57164474461. The next prime is 57164474509. The reversal of 57164474484 is 48447446175.

57164474484 is a `hidden beast` number, since 5 + 7 + 164 + 474 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25162842384 + 32001632100 = 158628^2 + 178890^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 57164474484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61072689 + ... + 61073624.

Almost surely, 257164474484 is an apocalyptic number.

It is an amenable number.

57164474484 is an abundant number, since it is smaller than the sum of its proper divisors (98449929552).

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

57164474484 is a wasteful number, since it uses less digits than its factorization.

57164474484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122146336 (or 122146331 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 57164474484 in words is "fifty-seven billion, one hundred sixty-four million, four hundred seventy-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 122146313 244292626 366438939 488585252 732877878 1099316817 1465755756 1587902069 2198633634 3175804138 4397267268 4763706207 6351608276 9527412414 14291118621 19054824828 28582237242 57164474484