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86601313980 = 223251728301083
BaseRepresentation
bin101000010100111010…
…1110010111010111100
322021112101122120101100
41100221311302322330
52404324414021410
6103441210413100
76154030010646
oct1205165627274
9267471576340
1086601313980
1133800202a75
121494a731190
13822196956c
144297793896
1523bccd38c0
hex1429d72ebc

86601313980 has 72 divisors (see below), whose sum is σ = 278143053552. Its totient is φ = 21735230976.

The previous prime is 86601313969. The next prime is 86601313991. The reversal of 86601313980 is 8931310668.

It is a happy number.

86601313980 is a `hidden beast` number, since 8 + 6 + 601 + 3 + 1 + 39 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86601313969) and next prime (86601313991).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14147482 + ... + 14153601.

It is an arithmetic number, because the mean of its divisors is an integer number (3863097966).

Almost surely, 286601313980 is an apocalyptic number.

It is an amenable number.

86601313980 is an abundant number, since it is smaller than the sum of its proper divisors (191541739572).

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

86601313980 is a wasteful number, since it uses less digits than its factorization.

86601313980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28301115 (or 28301110 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 86601313980 in words is "eighty-six billion, six hundred one million, three hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 28301083 56602166 84903249 113204332 141505415 169806498 254709747 283010830 339612996 424516245 481118411 509419494 566021660 849032490 962236822 1018838988 1273548735 1443355233 1698064980 1924473644 2405592055 2547097470 2886710466 4330065699 4811184110 5094194940 5773420932 7216776165 8660131398 9622368220 14433552330 17320262796 21650328495 28867104660 43300656990 86601313980