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85838737366317 = 31314331535933891
BaseRepresentation
bin10011100001000111100011…
…011100101101110100101101
3102020221002210012021222201210
4103201013203130231310231
542222340213231210232
6502321434353425033
724036433634633535
oct2341074334556455
9366832705258653
1085838737366317
1125395005483021
12976415756b179
1338b87344a1280
14172a88d2b84c5
159dcce11755cc
hex4e11e372dd2d

85838737366317 has 16 divisors (see below), whose sum is σ = 123341635263168. Its totient is φ = 52786975931520.

The previous prime is 85838737366313. The next prime is 85838737366339. The reversal of 85838737366317 is 71366373783858.

It is not a de Polignac number, because 85838737366317 - 22 = 85838737366313 is a prime.

It is a super-3 number, since 3×858387373663173 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838737366313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767911059 + ... + 768022832.

It is an arithmetic number, because the mean of its divisors is an integer number (7708852203948).

Almost surely, 285838737366317 is an apocalyptic number.

It is an amenable number.

85838737366317 is a deficient number, since it is larger than the sum of its proper divisors (37502897896851).

85838737366317 is a wasteful number, since it uses less digits than its factorization.

85838737366317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535935340.

The product of its digits is 2560481280, while the sum is 75.

The spelling of 85838737366317 in words is "eighty-five trillion, eight hundred thirty-eight billion, seven hundred thirty-seven million, three hundred sixty-six thousand, three hundred seventeen".

Divisors: 1 3 13 39 1433 4299 18629 55887 1535933891 4607801673 19967140583 59901421749 2200993265803 6602979797409 28612912455439 85838737366317