| Base | Representation |
|---|---|
| bin | 10111110010001001… |
| … | …11011011010100000 |
| 3 | 1012221212122212122100 |
| 4 | 23321010323122200 |
| 5 | 202122300101222 |
| 6 | 5511010410400 |
| 7 | 631264420020 |
| oct | 137104733240 |
| 9 | 35855585570 |
| 10 | 12768753312 |
| 11 | 54626a0397 |
| 12 | 2584290a00 |
| 13 | 12864c7143 |
| 14 | 891b71a80 |
| 15 | 4eaec44ac |
| hex | 2f913b6a0 |
12768753312 has 288 divisors, whose sum is σ = 46254499200. Its totient is φ = 3252731904.
The previous prime is 12768753299. The next prime is 12768753313. The reversal of 12768753312 is 21335786721.
12768753312 is a `hidden beast` number, since 1 + 27 + 6 + 87 + 533 + 12 = 666.
12768753312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×127687533122 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (12768753313) 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 47 ways as a sum of consecutive naturals, for example, 641364 + ... + 660972.
It is an arithmetic number, because the mean of its divisors is an integer number (160605900).
Almost surely, 212768753312 is an apocalyptic number.
12768753312 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 12768753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23127249600).
12768753312 is an abundant number, since it is smaller than the sum of its proper divisors (33485745888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12768753312 is a wasteful number, since it uses less digits than its factorization.
12768753312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19668 (or 19657 counting only the distinct ones).
The product of its digits is 423360, while the sum is 45.
The spelling of 12768753312 in words is "twelve billion, seven hundred sixty-eight million, seven hundred fifty-three thousand, three hundred twelve".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.065 sec. • engine limits •