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85396614705 = 32513173319763
BaseRepresentation
bin100111110001000001…
…0001110111000110001
322011102102210111122200
41033202002032320301
52344343013132310
6103121453453413
76112131151113
oct1174202167061
9264372714580
1085396614705
1133242187636
12146731a1269
13808c1bb15c
1441c179d3b3
15234c16a9c0
hex13e208ee31

85396614705 has 48 divisors (see below), whose sum is σ = 149361765696. Its totient is φ = 45133246080.

The previous prime is 85396614671. The next prime is 85396614733. The reversal of 85396614705 is 50741669358.

85396614705 is a `hidden beast` number, since 8 + 539 + 6 + 61 + 47 + 0 + 5 = 666.

It is not a de Polignac number, because 85396614705 - 217 = 85396483633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4311154 + ... + 4330916.

It is an arithmetic number, because the mean of its divisors is an integer number (3111703452).

Almost surely, 285396614705 is an apocalyptic number.

It is an amenable number.

85396614705 is a deficient number, since it is larger than the sum of its proper divisors (63965150991).

85396614705 is a wasteful number, since it uses less digits than its factorization.

85396614705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20638 (or 20635 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85396614705 in words is "eighty-five billion, three hundred ninety-six million, six hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 131 393 655 733 1179 1965 2199 3665 5895 6597 10995 19763 32985 59289 96023 98815 177867 288069 296445 480115 864207 889335 1440345 2588953 4321035 7766859 12944765 14486279 23300577 38834295 43458837 72431395 116502885 130376511 217294185 651882555 1897702549 5693107647 9488512745 17079322941 28465538235 85396614705