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12131360784 = 243284245561
BaseRepresentation
bin10110100110001010…
…11110000000010000
31011022110021222110200
423103011132000100
5144321112021114
65323441055200
7606424602534
oct132305360020
934273258420
1012131360784
115165922a04
122426927500
1311b44387ba
14831253bc4
154b006c409
hex2d315e010

12131360784 has 30 divisors (see below), whose sum is σ = 33950961486. Its totient is φ = 4043786880.

The previous prime is 12131360779. The next prime is 12131360797. The reversal of 12131360784 is 48706313121.

It is a happy number.

12131360784 is a `hidden beast` number, since 1 + 213 + 1 + 360 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11037603600 + 1093757184 = 105060^2 + 33072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42122637 + ... + 42122924.

Almost surely, 212131360784 is an apocalyptic number.

It is an amenable number.

12131360784 is an abundant number, since it is smaller than the sum of its proper divisors (21819600702).

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

12131360784 is a wasteful number, since it uses less digits than its factorization.

12131360784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84245575 (or 84245566 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12131360784 in words is "twelve billion, one hundred thirty-one million, three hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84245561 168491122 252736683 336982244 505473366 673964488 758210049 1010946732 1347928976 1516420098 2021893464 3032840196 4043786928 6065680392 12131360784