Base | Representation |
---|---|
bin | 10110110101111100… |
… | …01001011100001000 |
3 | 1011122200020102212200 |
4 | 23122332021130020 |
5 | 200103444044042 |
6 | 5344524440200 |
7 | 612622245444 |
oct | 133276113410 |
9 | 34580212780 |
10 | 12263659272 |
11 | 52235747a7 |
12 | 24630a9060 |
13 | 120597a527 |
14 | 844a51824 |
15 | 4bb9a1c4c |
hex | 2daf89708 |
12263659272 has 108 divisors (see below), whose sum is σ = 34401775005. Its totient is φ = 3946622400.
The previous prime is 12263659237. The next prime is 12263659279. The reversal of 12263659272 is 27295636221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
12263659272 is a `hidden beast` number, since 1 + 2 + 2 + 636 + 5 + 9 + 2 + 7 + 2 = 666.
12263659272 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 2 ways, for example, as 6974588196 + 5289071076 = 83514^2 + 72726^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=78306.
It is not an unprimeable number, because it can be changed into a prime (12263659279) by changing a digit.
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 26 ways as a sum of consecutive naturals, for example, 29129622 + ... + 29130042.
Almost surely, 212263659272 is an apocalyptic number.
12263659272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12263659272
12263659272 is an abundant number, since it is smaller than the sum of its proper divisors (22138115733).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12263659272 is an equidigital number, since it uses as much as digits as its factorization.
12263659272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 916 (or 457 counting only the distinct ones).
The product of its digits is 544320, while the sum is 45.
The spelling of 12263659272 in words is "twelve billion, two hundred sixty-three million, six hundred fifty-nine thousand, two hundred seventy-two".
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