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12131605464 = 2331145953051
BaseRepresentation
bin10110100110001100…
…11001101111011000
31011022110202102002220
423103012121233120
5144321142333324
65323450224040
7606426642066
oct132306315730
934273672086
1012131605464
115165a7a820
122426a25020
1311b44c2c94
148312b9036
154b00b9b79
hex2d3199bd8

12131605464 has 32 divisors (see below), whose sum is σ = 33086197440. Its totient is φ = 3676244000.

The previous prime is 12131605457. The next prime is 12131605471. The reversal of 12131605464 is 46450613121.

It is an interprime number because it is at equal distance from previous prime (12131605457) and next prime (12131605471).

It is a super-2 number, since 2×121316054642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 22976262 + ... + 22976789.

It is an arithmetic number, because the mean of its divisors is an integer number (1033943670).

Almost surely, 212131605464 is an apocalyptic number.

It is an amenable number.

12131605464 is an abundant number, since it is smaller than the sum of its proper divisors (20954591976).

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

12131605464 is a wasteful number, since it uses less digits than its factorization.

12131605464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45953071 (or 45953067 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12131605464 in words is "twelve billion, one hundred thirty-one million, six hundred five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 45953051 91906102 137859153 183812204 275718306 367624408 505483561 551436612 1010967122 1102873224 1516450683 2021934244 3032901366 4043868488 6065802732 12131605464