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57406413662712 = 233237911711796519
BaseRepresentation
bin11010000110101111110001…
…11001001110100111111000
321112020222222200010102202100
431003113320321032213320
530011021313344201322
6322032050430103400
715043322306005422
oct1503277071164770
9245228880112670
1057406413662712
1117322a17a26524
1265318b794ab60
13260552b36ba1a
1410266b1731812
15698414d51dac
hex3435f8e4e9f8

57406413662712 has 96 divisors (see below), whose sum is σ = 156019138704000. Its totient is φ = 19068673216320.

The previous prime is 57406413662707. The next prime is 57406413662729. The reversal of 57406413662712 is 21726631460475.

57406413662712 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 6 + 4 + 1 + 3 + 6 + 627 + 1 + 2 = 666.

It is a super-2 number, since 2×574064136627122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31055989 + ... + 32852507.

It is an arithmetic number, because the mean of its divisors is an integer number (1625199361500).

Almost surely, 257406413662712 is an apocalyptic number.

It is an amenable number.

57406413662712 is an abundant number, since it is smaller than the sum of its proper divisors (98612725041288).

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

57406413662712 is a wasteful number, since it uses less digits than its factorization.

57406413662712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798081 (or 1798074 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 57406413662712 in words is "fifty-seven trillion, four hundred six billion, four hundred thirteen million, six hundred sixty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 379 758 1137 1171 1516 2274 2342 3032 3411 3513 4548 4684 6822 7026 9096 9368 10539 13644 14052 21078 27288 28104 42156 84312 443809 887618 1331427 1775236 1796519 2662854 3550472 3593038 3994281 5325708 5389557 7186076 7988562 10651416 10779114 14372152 15977124 16168671 21558228 31954248 32337342 43116456 64674684 129349368 680880701 1361761402 2042642103 2103723749 2723522804 4085284206 4207447498 5447045608 6127926309 6311171247 8170568412 8414894996 12255852618 12622342494 16341136824 16829789992 18933513741 24511705236 25244684988 37867027482 49023410472 50489369976 75734054964 151468109928 797311300871 1594622601742 2391933902613 3189245203484 4783867805226 6378490406968 7175801707839 9567735610452 14351603415678 19135471220904 28703206831356 57406413662712