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12271623944 = 2317372438717
BaseRepresentation
bin10110110110111001…
…00001111100001000
31011200020020002100112
423123130201330020
5200113013431234
65345411253452
7613050040166
oct133334417410
934606202315
1012271623944
115228014778
1224658aa288
131207508858
14845b26236
154bc526ace
hex2db721f08

12271623944 has 32 divisors (see below), whose sum is σ = 25021246680. Its totient is φ = 5618801664.

The previous prime is 12271623919. The next prime is 12271623977. The reversal of 12271623944 is 44932617221.

12271623944 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 11143335844 + 1128288100 = 105562^2 + 33590^2 .

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 in 7 ways as a sum of consecutive naturals, for example, 1214327 + ... + 1224390.

Almost surely, 212271623944 is an apocalyptic number.

It is an amenable number.

12271623944 is an abundant number, since it is smaller than the sum of its proper divisors (12749622736).

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

12271623944 is a wasteful number, since it uses less digits than its factorization.

12271623944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438777 (or 2438773 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The spelling of 12271623944 in words is "twelve billion, two hundred seventy-one million, six hundred twenty-three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 17 34 37 68 74 136 148 296 629 1258 2516 5032 2438717 4877434 9754868 19509736 41458189 82916378 90232529 165832756 180465058 331665512 360930116 721860232 1533952993 3067905986 6135811972 12271623944