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86077949256 = 233213127724123
BaseRepresentation
bin101000000101010100…
…1010100010101001000
322020011220211212221200
41100022221110111020
52402241423334011
6103313233104200
76135043332165
oct1201251242510
9266156755850
1086077949256
1133561838342
12148233b8060
13816a3c36b0
14424807906c
15238bda2856
hex140aa54548

86077949256 has 96 divisors (see below), whose sum is σ = 253037890560. Its totient is φ = 26276939136.

The previous prime is 86077949203. The next prime is 86077949261. The reversal of 86077949256 is 65294977068.

It is a junction number, because it is equal to n+sod(n) for n = 86077949193 and 86077949202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243190 + ... + 480933.

It is an arithmetic number, because the mean of its divisors is an integer number (2635811360).

Almost surely, 286077949256 is an apocalyptic number.

It is an amenable number.

86077949256 is an abundant number, since it is smaller than the sum of its proper divisors (166959941304).

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

86077949256 is a wasteful number, since it uses less digits than its factorization.

86077949256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724275 (or 724268 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 86077949256 in words is "eighty-six billion, seventy-seven million, nine hundred forty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 381 468 508 762 936 1016 1143 1524 1651 2286 3048 3302 4572 4953 6604 9144 9906 13208 14859 19812 29718 39624 59436 118872 724123 1448246 2172369 2896492 4344738 5792984 6517107 8689476 9413599 13034214 17378952 18827198 26068428 28240797 37654396 52136856 56481594 75308792 84722391 91963621 112963188 169444782 183927242 225926376 275890863 338889564 367854484 551781726 677779128 735708968 827672589 1103563452 1195527073 1655345178 2207126904 2391054146 3310690356 3586581219 4782108292 6621380712 7173162438 9564216584 10759743657 14346324876 21519487314 28692649752 43038974628 86077949256