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86686172946 = 23675778541
BaseRepresentation
bin101000010111011100…
…1100000011100010010
322021202022022212000000
41100232321200130102
52410013130013241
6103453441310430
76156110212122
oct1205671403422
9267668285000
1086686172946
11338440a284a
1214973035416
13823640b479
1442a4b62c82
1523c5496eb6
hex142ee60712

86686172946 has 56 divisors (see below), whose sum is σ = 195214727244. Its totient is φ = 28856852640.

The previous prime is 86686172899. The next prime is 86686172987. The reversal of 86686172946 is 64927168668.

86686172946 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 617 + 2 + 9 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81031884921 + 5654288025 = 284661^2 + 75195^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1064436 + ... + 1142976.

Almost surely, 286686172946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86686172946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97607363622).

86686172946 is an abundant number, since it is smaller than the sum of its proper divisors (108528554298).

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

86686172946 is an equidigital number, since it uses as much as digits as its factorization.

86686172946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79318 (or 79303 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 86686172946 in words is "eighty-six billion, six hundred eighty-six million, one hundred seventy-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 757 1458 1514 2271 4542 6813 13626 20439 40878 61317 78541 122634 157082 183951 235623 367902 471246 551853 706869 1103706 1413738 2120607 4241214 6361821 12723642 19085463 38170926 57256389 59455537 114512778 118911074 178366611 356733222 535099833 1070199666 1605299499 3210598998 4815898497 9631796994 14447695491 28895390982 43343086473 86686172946