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12431382784 = 2848560089
BaseRepresentation
bin10111001001111011…
…11101100100000000
31012002100211200021121
423210331331210000
5200424413222114
65413315402024
7620030003332
oct134475754400
935070750247
1012431382784
1152aa211977
1224ab2b3314
131231643602
1485d031452
154cb582a24
hex2e4f7d900

12431382784 has 18 divisors (see below), whose sum is σ = 24814205990. Its totient is φ = 6215691264.

The previous prime is 12431382779. The next prime is 12431382793. The reversal of 12431382784 is 48728313421.

12431382784 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 only one way, i.e., 7212765184 + 5218617600 = 84928^2 + 72240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12431382784.

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 as a sum of consecutive naturals, namely, 24279789 + ... + 24280300.

Almost surely, 212431382784 is an apocalyptic number.

It is an amenable number.

12431382784 is a deficient number, since it is larger than the sum of its proper divisors (12382823206).

12431382784 is an frugal number, since it uses more digits than its factorization.

12431382784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48560105 (or 48560091 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The spelling of 12431382784 in words is "twelve billion, four hundred thirty-one million, three hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 48560089 97120178 194240356 388480712 776961424 1553922848 3107845696 6215691392 12431382784