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85836466632357 = 3571373541104021
BaseRepresentation
bin10011100001000101011100…
…000110100011011010100101
3102020220212220221111202100000
4103201011130012203122211
542222321040424213412
6502320421200011513
724036323443003110
oct2341053406433245
9366825827452300
1085836466632357
112539404a730a91
129763823000b99
1338b8461c04ccc
14172a7158a7577
159dcc0bb354dc
hex4e115c1a36a5

85836466632357 has 96 divisors (see below), whose sum is σ = 148062205234944. Its totient is φ = 48677165913600.

The previous prime is 85836466632311. The next prime is 85836466632359. The reversal of 85836466632357 is 75323666463858.

It is not a de Polignac number, because 85836466632357 - 219 = 85836466108069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85836466632359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825132007 + ... + 825236027.

It is an arithmetic number, because the mean of its divisors is an integer number (1542314637864).

Almost surely, 285836466632357 is an apocalyptic number.

It is an amenable number.

85836466632357 is a deficient number, since it is larger than the sum of its proper divisors (62225738602587).

85836466632357 is a wasteful number, since it uses less digits than its factorization.

85836466632357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107721 (or 107709 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 72.

The spelling of 85836466632357 in words is "eighty-five trillion, eight hundred thirty-six billion, four hundred sixty-six million, six hundred thirty-two thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 81 137 189 243 411 567 959 1233 1701 2877 3541 3699 8631 10623 11097 24787 25893 31869 33291 74361 77679 95607 104021 223083 233037 286821 312063 485117 669249 728147 860463 936189 1455351 2007747 2184441 2808567 3395819 4366053 6023241 6553323 8425701 10187457 13098159 14250877 19659969 25277103 30562371 39294477 42752631 58979907 91687113 99756139 117883431 128257893 176939721 275061339 299268417 368338361 384773679 825184017 897805251 1105015083 1154321037 2578368527 2693415753 3315045249 3462963111 7735105581 8080247259 9945135747 23205316743 24240741777 29835407241 50462355457 69615950229 89506221723 151387066371 208847850687 353236488199 454161199113 626543552061 1059709464597 1362483597339 3179128393791 4087450792017 9537385181373 12262352376051 28612155544119 85836466632357