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86116423936 = 28183412
BaseRepresentation
bin101000000110011110…
…0000101100100000000
322020021121020121021211
41100030330011210000
52402331301031221
6103321125455504
76136021345234
oct1201474054400
9266247217254
1086116423936
11335815269a4
1214834271594
138175374b8a
14424d2125c4
1523904526e1
hex140cf05900

86116423936 has 27 divisors (see below), whose sum is σ = 171905828353. Its totient is φ = 43055864320.

The previous prime is 86116423879. The next prime is 86116423979. The reversal of 86116423936 is 63932461168.

It is a happy number.

The square root of 86116423936 is 293456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8787937536 + 77328486400 = 93744^2 + 278080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86116423936.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4686126 + ... + 4704466.

Almost surely, 286116423936 is an apocalyptic number.

86116423936 is the 293456-th square number.

It is an amenable number.

86116423936 is a deficient number, since it is larger than the sum of its proper divisors (85789404417).

86116423936 is an frugal number, since it uses more digits than its factorization.

86116423936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36698 (or 18343 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

Multiplying 86116423936 by its sum of digits (49), we get a square (4219704772864 = 20541922).

The spelling of 86116423936 in words is "eighty-six billion, one hundred sixteen million, four hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 18341 36682 73364 146728 293456 586912 1173824 2347648 4695296 336392281 672784562 1345569124 2691138248 5382276496 10764552992 21529105984 43058211968 86116423936