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82636562137857 = 37213211204941117
BaseRepresentation
bin10010110010100001010010…
…111011101000001100000001
3101211120222102002122222022020
4102302201102323220030001
541312404134401402412
6451430413525232053
723256203021404500
oct2262412273501401
9354528362588266
1082636562137857
112436aa72aa5882
129327629562629
133715795ab4a90
1416598b9470837
1598487753518c
hex4b2852ee8301

82636562137857 has 48 divisors (see below), whose sum is σ = 138684474315072. Its totient is φ = 43381935434880.

The previous prime is 82636562137777. The next prime is 82636562137879. The reversal of 82636562137857 is 75873126563628.

It is not a de Polignac number, because 82636562137857 - 212 = 82636562133761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82636562137791 and 82636562137800.

It is not an unprimeable number, because it can be changed into a prime (82636562137897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102067338 + ... + 102873779.

It is an arithmetic number, because the mean of its divisors is an integer number (2889259881564).

Almost surely, 282636562137857 is an apocalyptic number.

It is an amenable number.

82636562137857 is a deficient number, since it is larger than the sum of its proper divisors (56047912177215).

82636562137857 is a wasteful number, since it uses less digits than its factorization.

82636562137857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204941358 (or 204941351 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 69.

The spelling of 82636562137857 in words is "eighty-two trillion, six hundred thirty-six billion, five hundred sixty-two million, one hundred thirty-seven thousand, eight hundred fifty-seven".

Divisors: 1 3 7 13 21 39 49 91 147 211 273 633 637 1477 1911 2743 4431 8229 10339 19201 31017 57603 134407 403221 204941117 614823351 1434587819 2664234521 4303763457 7992703563 10042114733 18649641647 30126344199 43242575687 55948924941 129727727061 130547491529 302698029809 391642474587 562153483931 908094089427 1686460451793 2118886208663 3935074387517 6356658625989 11805223162551 27545520712619 82636562137857