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57082515534 = 23411181176977
BaseRepresentation
bin110101001010011000…
…100001000001001110
312110100011211020110000
4311022120201001032
51413401110444114
642120124225130
74060362243042
oct651230410116
9173304736400
1057082515534
1122232656880
12b09099b1a6
1354c91a7015
142a9720a022
15174155ce09
hexd4a62104e

57082515534 has 80 divisors (see below), whose sum is σ = 140306742576. Its totient is φ = 17202067200.

The previous prime is 57082515467. The next prime is 57082515547. The reversal of 57082515534 is 43551528075.

57082515534 is a `hidden beast` number, since 5 + 7 + 0 + 82 + 515 + 53 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57082515534.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234054 + ... + 411030.

Almost surely, 257082515534 is an apocalyptic number.

57082515534 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57082515534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70153371288).

57082515534 is an abundant number, since it is smaller than the sum of its proper divisors (83224227042).

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

57082515534 is a wasteful number, since it uses less digits than its factorization.

57082515534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177183 (or 177174 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 57082515534 in words is "fifty-seven billion, eighty-two million, five hundred fifteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 181 198 297 362 543 594 891 1086 1629 1782 1991 3258 3982 4887 5973 9774 11946 14661 17919 29322 35838 53757 107514 161271 176977 322542 353954 530931 1061862 1592793 1946747 3185586 3893494 4778379 5840241 9556758 11680482 14335137 17520723 28670274 32032837 35041446 52562169 64065674 96098511 105124338 157686507 192197022 288295533 315373014 352361207 576591066 704722414 864886599 1057083621 1729773198 2114167242 2594659797 3171250863 5189319594 6342501726 9513752589 19027505178 28541257767 57082515534