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831064389129 = 321317417830261
BaseRepresentation
bin11000001011111110100…
…11000011011000001001
32221110010022021012202100
430011333103003120021
5102104004440423004
61433441414024013
7114020356516122
oct14057723033011
92843108235670
10831064389129
112a04a8200067
12115095948009
13604a4a04610
142c31bcbd049
15169405ba739
hexc17f4c3609

831064389129 has 24 divisors (see below), whose sum is σ = 1368811938312. Its totient is φ = 481340459520.

The previous prime is 831064389079. The next prime is 831064389143. The reversal of 831064389129 is 921983460138.

831064389129 is a `hidden beast` number, since 83 + 1 + 0 + 6 + 438 + 9 + 129 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 343574167104 + 487490222025 = 586152^2 + 698205^2 .

It is a de Polignac number, because none of the positive numbers 2k-831064389129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (831064389149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208913142 + ... + 208917119.

It is an arithmetic number, because the mean of its divisors is an integer number (57033830763).

Almost surely, 2831064389129 is an apocalyptic number.

It is an amenable number.

831064389129 is a deficient number, since it is larger than the sum of its proper divisors (537747549183).

831064389129 is a wasteful number, since it uses less digits than its factorization.

831064389129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417830297 (or 417830294 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 831064389129 in words is "eight hundred thirty-one billion, sixty-four million, three hundred eighty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 417830261 1253490783 3760472349 5431793393 7103114437 16295380179 21309343311 48886140537 63928029933 92340487681 277021463043 831064389129