| Base | Representation |
|---|---|
| bin | 11011111110100000001… |
| … | …01101010010111000000 |
| 3 | 10101220012110221020221000 |
| 4 | 31333100011222113000 |
| 5 | 111222134311232120 |
| 6 | 2013333435332000 |
| 7 | 126310065266451 |
| oct | 15772005522700 |
| 9 | 3356173836830 |
| 10 | 961268852160 |
| 11 | 340743230301 |
| 12 | 136372bb1000 |
| 13 | 6c855066996 |
| 14 | 347505ad128 |
| 15 | 1a01136a990 |
| hex | dfd016a5c0 |
961268852160 has 896 divisors, whose sum is σ = 3657365913600. Its totient is φ = 237073858560.
The previous prime is 961268852099. The next prime is 961268852179. The reversal of 961268852160 is 61258862169.
961268852160 is a `hidden beast` number, since 9 + 612 + 6 + 8 + 8 + 5 + 2 + 16 + 0 = 666.
It is a super-2 number, since 2×9612688521602 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 961268852097 and 961268852106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1034734576 + ... + 1034735504.
It is an arithmetic number, because the mean of its divisors is an integer number (4081881600).
Almost surely, 2961268852160 is an apocalyptic number.
961268852160 is a gapful number since it is divisible by the number (90) 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 961268852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828682956800).
961268852160 is an abundant number, since it is smaller than the sum of its proper divisors (2696097061440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
961268852160 is a wasteful number, since it uses less digits than its factorization.
961268852160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).
The product of its (nonzero) digits is 2488320, while the sum is 54.
The spelling of 961268852160 in words is "nine hundred sixty-one billion, two hundred sixty-eight million, eight hundred fifty-two thousand, one hundred sixty".
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