| Base | Representation |
|---|---|
| bin | 10011100010110111… |
| … | …00000000000000000 |
| 3 | 1000002021101001102000 |
| 4 | 21301123200000000 |
| 5 | 132442200001320 |
| 6 | 4453112424000 |
| 7 | 521011523145 |
| oct | 116133400000 |
| 9 | 30067331360 |
| 10 | 10492968960 |
| 11 | 44a5009981 |
| 12 | 204a0a8000 |
| 13 | cb2b80196 |
| 14 | 7178083cc |
| 15 | 4162d7c90 |
| hex | 2716e0000 |
10492968960 has 288 divisors, whose sum is σ = 37371106080. Its totient is φ = 2793406464.
The previous prime is 10492968953. The next prime is 10492968977. The reversal of 10492968960 is 6986929401.
10492968960 is a `hidden beast` number, since 1 + 0 + 492 + 9 + 68 + 96 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×104929689602 (a number of 21 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 = 10492968897 and 10492968906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694424 + ... + 17695016.
It is an arithmetic number, because the mean of its divisors is an integer number (129760785).
Almost surely, 210492968960 is an apocalyptic number.
10492968960 is a gapful number since it is divisible by the number (10) 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 10492968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685553040).
10492968960 is an abundant number, since it is smaller than the sum of its proper divisors (26878137120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10492968960 is an frugal number, since it uses more digits than its factorization.
10492968960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 641 (or 603 counting only the distinct ones).
The product of its (nonzero) digits is 1679616, while the sum is 54.
It can be divided in two parts, 104929 and 68960, that added together give a square (173889 = 4172).
The spelling of 10492968960 in words is "ten billion, four hundred ninety-two million, nine hundred sixty-eight thousand, nine hundred sixty".
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