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831271331352 = 2337211161339839
BaseRepresentation
bin11000001100010111010…
…00011110011000011000
32221110122201122222010010
430012023220132120120
5102104420430100402
61433514125321520
7114025451506200
oct14061350363030
92843581588103
10831271331352
112a05a3aa48a0
121151331062a0
136050884c737
142c33b58b400
1516953846a6c
hexc18ba1e618

831271331352 has 192 divisors, whose sum is σ = 2638944230400. Its totient is φ = 215775356160.

The previous prime is 831271331333. The next prime is 831271331369. The reversal of 831271331352 is 253133172138.

It is a self number, because there is not a number n which added to its sum of digits gives 831271331352.

It is a congruent number.

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, 20845849 + ... + 20885687.

It is an arithmetic number, because the mean of its divisors is an integer number (13744501200).

Almost surely, 2831271331352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831271331352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319472115200).

831271331352 is an abundant number, since it is smaller than the sum of its proper divisors (1807672899048).

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

831271331352 is a wasteful number, since it uses less digits than its factorization.

831271331352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41486 (or 41475 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 831271331352 in words is "eight hundred thirty-one billion, two hundred seventy-one million, three hundred thirty-one thousand, three hundred fifty-two".