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57005713134 = 23229307355721
BaseRepresentation
bin110101000101110011…
…100010011011101110
312110010211022021100200
4311011303202123232
51413221430310014
642104342134330
74055440365246
oct650563423356
9173124267320
1057005713134
11221a326a017
12b06b1213a6
1354b62c6206
142a8ad36b26
15173993ba09
hexd45ce26ee

57005713134 has 48 divisors (see below), whose sum is σ = 128187979920. Its totient is φ = 18286853760.

The previous prime is 57005713133. The next prime is 57005713147. The reversal of 57005713134 is 43131750075.

57005713134 is a `hidden beast` number, since 5 + 70 + 0 + 571 + 3 + 13 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57005713133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17607 + ... + 338114.

It is an arithmetic number, because the mean of its divisors is an integer number (2670582915).

Almost surely, 257005713134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57005713134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64093989960).

57005713134 is an abundant number, since it is smaller than the sum of its proper divisors (71182266786).

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

57005713134 is a wasteful number, since it uses less digits than its factorization.

57005713134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356065 (or 356062 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 57005713134 in words is "fifty-seven billion, five million, seven hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 307 522 614 921 1842 2763 5526 8903 17806 26709 53418 80127 160254 355721 711442 1067163 2134326 3201489 6402978 10315909 20631818 30947727 61895454 92843181 109206347 185686362 218412694 327619041 655238082 982857123 1965714246 3166984063 6333968126 9500952189 19001904378 28502856567 57005713134