| Base | Representation |
|---|---|
| bin | 11000001011100111… |
| … | …00101110000000000 |
| 3 | 1020111202111210000000 |
| 4 | 30011303211300000 |
| 5 | 203041432440221 |
| 6 | 5544120000000 |
| 7 | 636466554636 |
| oct | 140563456000 |
| 9 | 36452453000 |
| 10 | 12982311936 |
| 11 | 55621a4120 |
| 12 | 2623900000 |
| 13 | 12bb81a9a9 |
| 14 | 8b2283356 |
| 15 | 50eb0ae26 |
| hex | 305ce5c00 |
12982311936 has 704 divisors, whose sum is σ = 46408273920. Its totient is φ = 3583180800.
The previous prime is 12982311931. The next prime is 12982311943. The reversal of 12982311936 is 63911328921.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (704).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (139968) is a multiple of the sum of its prime divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 12982311891 and 12982311900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12982311931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418784241 + ... + 418784271.
Almost surely, 212982311936 is an apocalyptic number.
12982311936 is a gapful number since it is divisible by the number (16) 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 12982311936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23204136960).
12982311936 is an abundant number, since it is smaller than the sum of its proper divisors (33425961984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12982311936 is an equidigital number, since it uses as much as digits as its factorization.
12982311936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 100 (or 64 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The spelling of 12982311936 in words is "twelve billion, nine hundred eighty-two million, three hundred eleven thousand, nine hundred thirty-six".
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