Base | Representation |
---|---|
bin | 10110101001111111… |
… | …10110100100000000 |
3 | 1011101200122220220211 |
4 | 23110333312210000 |
5 | 144402320133234 |
6 | 5330544443504 |
7 | 610264362532 |
oct | 132477664400 |
9 | 34350586824 |
10 | 12163442944 |
11 | 5181a45794 |
12 | 2435619594 |
13 | 11bac8c423 |
14 | 835605852 |
15 | 4b2ca8164 |
hex | 2d4ff6900 |
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".
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