| Base | Representation |
|---|---|
| bin | 10111011001110000… |
| … | …11101111010000000 |
| 3 | 1012102121200110120000 |
| 4 | 23230320131322000 |
| 5 | 201212411111003 |
| 6 | 5434421320000 |
| 7 | 623231412312 |
| oct | 135470357200 |
| 9 | 35377613500 |
| 10 | 12564160128 |
| 11 | 5368160513 |
| 12 | 2527866000 |
| 13 | 1252cc22a0 |
| 14 | 8729157b2 |
| 15 | 4d805e1a3 |
| hex | 2ece1de80 |
12564160128 has 480 divisors, whose sum is σ = 42036728580. Its totient is φ = 3702620160.
The previous prime is 12564160087. The next prime is 12564160139. The reversal of 12564160128 is 82106146521.
It is a happy number.
12564160128 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 41 + 601 + 2 + 8 = 666.
12564160128 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 11961359424 + 602800704 = 109368^2 + 24552^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12564160092 and 12564160101.
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 59 ways as a sum of consecutive naturals, for example, 129527376 + ... + 129527472.
Almost surely, 212564160128 is an apocalyptic number.
12564160128 is a gapful number since it is divisible by the number (18) 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 12564160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018364290).
12564160128 is an abundant number, since it is smaller than the sum of its proper divisors (29472568452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12564160128 is an equidigital number, since it uses as much as digits as its factorization.
12564160128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 198 (or 146 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 12564160128 in words is "twelve billion, five hundred sixty-four million, one hundred sixty thousand, one hundred twenty-eight".
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