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12163442944 = 286121132
BaseRepresentation
bin10110101001111111…
…10110100100000000
31011101200122220220211
423110333312210000
5144402320133234
65330544443504
7610264362532
oct132477664400
934350586824
1012163442944
115181a45794
122435619594
1311bac8c423
14835605852
154b2ca8164
hex2d4ff6900

12163442944 has 81 divisors (see below), whose sum is σ = 24904294779. Its totient is φ = 5929082880.

The previous prime is 12163442927. The next prime is 12163442953. The reversal of 12163442944 is 44924436121.

The square root of 12163442944 is 110288.

It is a perfect power (a square), and thus also a powerful number.

12163442944 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 10999814400 + 1163628544 = 104880^2 + 34112^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12163442897 and 12163442906.

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 8 ways as a sum of consecutive naturals, for example, 107641032 + ... + 107641144.

Almost surely, 212163442944 is an apocalyptic number.

12163442944 is the 110288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12163442944

12163442944 is an abundant number, since it is smaller than the sum of its proper divisors (12740851835).

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

12163442944 is an frugal number, since it uses more digits than its factorization.

12163442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 176 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The spelling of 12163442944 in words is "twelve billion, one hundred sixty-three million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 113 122 128 226 244 256 452 488 904 976 1808 1952 3616 3721 3904 6893 7232 7442 7808 12769 13786 14464 14884 15616 25538 27572 28928 29768 51076 55144 59536 102152 110288 119072 204304 220576 238144 408608 420473 441152 476288 778909 817216 840946 882304 952576 1557818 1634432 1681892 1764608 3115636 3268864 3363784 6231272 6727568 12462544 13455136 24925088 26910272 47513449 49850176 53820544 95026898 99700352 107641088 190053796 199400704 380107592 760215184 1520430368 3040860736 6081721472 12163442944