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85795351659432 = 2333397200702127
BaseRepresentation
bin10011100000011111001001…
…011101011000001110101000
3102020202221210120102201112000
4103200133021131120032220
542221132340011100212
6502245501311251000
724033336536335302
oct2340371135301650
9366687716381460
1085795351659432
1125378671371318
129757869819a60
1338b460bb5b86c
1417287351c0972
159dbb0230b1dc
hex4e07c97583a8

85795351659432 has 32 divisors (see below), whose sum is σ = 238320421276800. Its totient is φ = 28598450553072.

The previous prime is 85795351659419. The next prime is 85795351659509. The reversal of 85795351659432 is 23495615359758.

85795351659432 is a `hidden beast` number, since 8 + 5 + 7 + 9 + 53 + 516 + 59 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×857953516594322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198600350848 + ... + 198600351279.

It is an arithmetic number, because the mean of its divisors is an integer number (7447513164900).

Almost surely, 285795351659432 is an apocalyptic number.

It is an amenable number.

85795351659432 is an abundant number, since it is smaller than the sum of its proper divisors (152525069617368).

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

85795351659432 is a wasteful number, since it uses less digits than its factorization.

85795351659432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397200702142 (or 397200702132 counting only the distinct ones).

The product of its digits is 1224720000, while the sum is 72.

The spelling of 85795351659432 in words is "eighty-five trillion, seven hundred ninety-five billion, three hundred fifty-one million, six hundred fifty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 397200702127 794401404254 1191602106381 1588802808508 2383204212762 3177605617016 3574806319143 4766408425524 7149612638286 9532816851048 10724418957429 14299225276572 21448837914858 28598450553144 42897675829716 85795351659432