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82636842856692 = 223173710979980107
BaseRepresentation
bin10010110010100001100011…
…101010011111000011110100
3101211121000010122212222011010
4102302201203222133003310
541312410223232403232
6451430501434112220
723256213000440655
oct2262414352370364
9354530118788133
1082636842856692
11243700a7500013
1293276a757b670
13371580bcc16b7
14165990486552c
15984891ed60cc
hex4b2863a9f0f4

82636842856692 has 96 divisors (see below), whose sum is σ = 209870653200768. Its totient is φ = 25201603989504.

The previous prime is 82636842856679. The next prime is 82636842856717. The reversal of 82636842856692 is 29665824863628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290103 + ... + 13270209.

It is an arithmetic number, because the mean of its divisors is an integer number (2186152637508).

Almost surely, 282636842856692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82636842856692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104935326600384).

82636842856692 is an abundant number, since it is smaller than the sum of its proper divisors (127233810344076).

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

82636842856692 is a wasteful number, since it uses less digits than its factorization.

82636842856692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981265 (or 9981263 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 75.

The spelling of 82636842856692 in words is "eighty-two trillion, six hundred thirty-six billion, eight hundred forty-two million, eight hundred fifty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1097 1258 1887 2194 2516 3291 3774 4388 6582 7548 13164 18649 37298 40589 55947 74596 81178 111894 121767 162356 223788 243534 487068 690013 1380026 2070039 2760052 4140078 8280156 9980107 19960214 29940321 39920428 59880642 119761284 169661819 339323638 369263959 508985457 678647276 738527918 1017970914 1107791877 1477055836 2035941828 2215583754 4431167508 6277487303 10948177379 12554974606 18832461909 21896354758 25109949212 32844532137 37664923818 43792709516 65689064274 75329847636 131378128548 186119015443 372238030886 405082563023 558357046329 744476061772 810165126046 1116714092658 1215247689069 1620330252092 2233428185316 2430495378138 4860990756276 6886403571391 13772807142782 20659210714173 27545614285564 41318421428346 82636842856692