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57314373534 = 232116134913597
BaseRepresentation
bin110101011000001100…
…111110111110011110
312110221100002211211100
4311120030332332132
51414334434423114
642155125533530
74066206064635
oct653014767636
9173840084740
1057314373534
1122341519160
12b1365742a6
135535236bc2
142ab9d2251c
151756aab909
hexd5833ef9e

57314373534 has 96 divisors (see below), whose sum is σ = 138095848800. Its totient is φ = 17033068800.

The previous prime is 57314373527. The next prime is 57314373541. The reversal of 57314373534 is 43537341375.

57314373534 is a `hidden beast` number, since 5 + 7 + 3 + 1 + 43 + 73 + 534 = 666.

It is an interprime number because it is at equal distance from previous prime (57314373527) and next prime (57314373541).

It is a self number, because there is not a number n which added to its sum of digits gives 57314373534.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4208424 + ... + 4222020.

It is an arithmetic number, because the mean of its divisors is an integer number (1438498425).

Almost surely, 257314373534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57314373534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69047924400).

57314373534 is an abundant number, since it is smaller than the sum of its proper divisors (80781475266).

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

57314373534 is a wasteful number, since it uses less digits than its factorization.

57314373534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026 (or 14023 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 45.

The spelling of 57314373534 in words is "fifty-seven billion, three hundred fourteen million, three hundred seventy-three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 349 366 549 671 698 1047 1098 1342 2013 2094 3141 3839 4026 6039 6282 7678 11517 12078 13597 21289 23034 27194 34551 40791 42578 63867 69102 81582 122373 127734 149567 191601 234179 244746 299134 383202 448701 468358 702537 829417 897402 1346103 1405074 1658834 2107611 2488251 2692206 4215222 4745353 4976502 7464753 9123587 9490706 14236059 14929506 18247174 27370761 28472118 42708177 52198883 54741522 82112283 85416354 104397766 156596649 164224566 289466533 313193298 469789947 578933066 868399599 939579894 1736799198 2605198797 3184131863 5210397594 6368263726 9552395589 19104791178 28657186767 57314373534