| Base | Representation |
|---|---|
| bin | 1111100110110110011… |
| … | …1010011000011100000 |
| 3 | 221122002020020101110000 |
| 4 | 3321231213103003200 |
| 5 | 13343111002144220 |
| 6 | 323101551540000 |
| 7 | 25241302546512 |
| oct | 3715547230340 |
| 9 | 848066211400 |
| 10 | 268126990560 |
| 11 | a3791772590 |
| 12 | 43b6b22a600 |
| 13 | 1c3906c3200 |
| 14 | cd98057bb2 |
| 15 | 6e94409390 |
| hex | 3e6d9d30e0 |
268126990560 has 1440 divisors, whose sum is σ = 1157076264960. Its totient is φ = 57903206400.
The previous prime is 268126990507. The next prime is 268126990603. The reversal of 268126990560 is 65099621862.
It is a happy number.
268126990560 is a `hidden beast` number, since 2 + 6 + 8 + 12 + 69 + 9 + 0 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-3 number, since 3×2681269905603 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 268126990497 and 268126990506.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 746871661 + ... + 746872019.
It is an arithmetic number, because the mean of its divisors is an integer number (803525184).
Almost surely, 2268126990560 is an apocalyptic number.
268126990560 is a gapful number since it is divisible by the number (20) 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 268126990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578538132480).
268126990560 is an abundant number, since it is smaller than the sum of its proper divisors (888949274400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268126990560 is a wasteful number, since it uses less digits than its factorization.
268126990560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 454 (or 424 counting only the distinct ones).
The product of its (nonzero) digits is 2799360, while the sum is 54.
The spelling of 268126990560 in words is "two hundred sixty-eight billion, one hundred twenty-six million, nine hundred ninety thousand, five hundred sixty".
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