| Base | Representation |
|---|---|
| bin | 11011111000110000011110… |
| … | …11101110110110000000000 |
| 3 | 22001010111110020102010112100 |
| 4 | 31330120033131312300000 |
| 5 | 31014212121422140320 |
| 6 | 334231433241030400 |
| 7 | 15626332665020445 |
| oct | 1574301735666000 |
| 9 | 261114406363470 |
| 10 | 61323802536960 |
| 11 | 185a3307907647 |
| 12 | 6a64b69485400 |
| 13 | 282aa6b095612 |
| 14 | 11201331d99cc |
| 15 | 71528d4b1790 |
| hex | 37c60f776c00 |
61323802536960 has 1056 divisors, whose sum is σ = 221326076454912. Its totient is φ = 15687749468160.
The previous prime is 61323802536949. The next prime is 61323802536973. The reversal of 61323802536960 is 6963520832316.
61323802536960 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 380 + 253 + 6 + 9 + 6 + 0 = 666.
61323802536960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 61323802536897 and 61323802536906.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80583182980 + ... + 80583183740.
It is an arithmetic number, because the mean of its divisors is an integer number (209589087552).
Almost surely, 261323802536960 is an apocalyptic number.
61323802536960 is a gapful number since it is divisible by the number (60) 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 61323802536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110663038227456).
61323802536960 is an abundant number, since it is smaller than the sum of its proper divisors (160002273917952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61323802536960 is a wasteful number, since it uses less digits than its factorization.
61323802536960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1509 (or 1488 counting only the distinct ones).
The product of its (nonzero) digits is 8398080, while the sum is 54.
The spelling of 61323802536960 in words is "sixty-one trillion, three hundred twenty-three billion, eight hundred two million, five hundred thirty-six thousand, nine hundred sixty".
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