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12072575684 = 2213527344029
BaseRepresentation
bin10110011111001010…
…01110001011000100
31011011100200101110202
423033211032023010
5144211034410214
65313541110032
7605112125441
oct131745161304
934140611422
1012072575684
115135721884
12240b0b8318
1311a51c5810
148275109c8
154a9d096de
hex2cf94e2c4

12072575684 has 24 divisors (see below), whose sum is σ = 22756993560. Its totient is φ = 5570774784.

The previous prime is 12072575681. The next prime is 12072575701. The reversal of 12072575684 is 48657527021.

12072575684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18731584 + 12053844100 = 4328^2 + 109790^2 .

It is not an unprimeable number, because it can be changed into a prime (12072575681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 252182 + ... + 296210.

It is an arithmetic number, because the mean of its divisors is an integer number (948208065).

Almost surely, 212072575684 is an apocalyptic number.

It is an amenable number.

12072575684 is a deficient number, since it is larger than the sum of its proper divisors (10684417876).

12072575684 is a wasteful number, since it uses less digits than its factorization.

12072575684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49319 (or 49317 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 12072575684 in words is "twelve billion, seventy-two million, five hundred seventy-five thousand, six hundred eighty-four".

Divisors: 1 2 4 13 26 52 5273 10546 21092 44029 68549 88058 137098 176116 274196 572377 1144754 2289508 232164917 464329834 928659668 3018143921 6036287842 12072575684