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31182428512 = 251955792077
BaseRepresentation
bin11101000010100111…
…100001100101100000
32222111011020111100201
4131002213201211200
51002330200203022
622154111354544
72152505161204
oct350247414540
988434214321
1031182428512
1112251739084
126062b22a54
132c2c346641
14171b4c2b04
15c27843127
hex7429e1960

31182428512 has 48 divisors (see below), whose sum is σ = 64738200240. Its totient is φ = 14743945728.

The previous prime is 31182428509. The next prime is 31182428513. The reversal of 31182428512 is 21582428113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31182428513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292618 + ... + 384694.

It is an arithmetic number, because the mean of its divisors is an integer number (1348712505).

Almost surely, 231182428512 is an apocalyptic number.

31182428512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31182428512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32369100120).

31182428512 is an abundant number, since it is smaller than the sum of its proper divisors (33555771728).

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

31182428512 is a wasteful number, since it uses less digits than its factorization.

31182428512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92663 (or 92655 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The spelling of 31182428512 in words is "thirty-one billion, one hundred eighty-two million, four hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 557 608 1114 2228 4456 8912 10583 17824 21166 42332 84664 92077 169328 184154 338656 368308 736616 1473232 1749463 2946464 3498926 6997852 13995704 27991408 51286889 55982816 102573778 205147556 410295112 820590224 974450891 1641180448 1948901782 3897803564 7795607128 15591214256 31182428512