| Base | Representation |
|---|---|
| bin | 1111100111001101111… |
| … | …1110011100000000000 |
| 3 | 221122100002221211002000 |
| 4 | 3321303133303200000 |
| 5 | 13343311234031400 |
| 6 | 323115435224000 |
| 7 | 25243611513021 |
| oct | 3716337634000 |
| 9 | 848302854060 |
| 10 | 268225689600 |
| 11 | a3832455640 |
| 12 | 43b982a8000 |
| 13 | 1c3a7c9c7cb |
| 14 | cda71cac48 |
| 15 | 6e9ce03600 |
| hex | 3e737f3800 |
268225689600 has 1152 divisors, whose sum is σ = 1111428864000. Its totient is φ = 62816256000.
The previous prime is 268225689593. The next prime is 268225689607. The reversal of 268225689600 is 6986522862.
268225689600 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 25 + 6 + 8 + 9 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (268225689593) and next prime (268225689607).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×2682256896002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (268225689607) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471398116 + ... + 471398684.
It is an arithmetic number, because the mean of its divisors is an integer number (964782000).
Almost surely, 2268225689600 is an apocalyptic number.
268225689600 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 268225689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555714432000).
268225689600 is an abundant number, since it is smaller than the sum of its proper divisors (843203174400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268225689600 is a wasteful number, since it uses less digits than its factorization.
268225689600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 652 (or 621 counting only the distinct ones).
The product of its (nonzero) digits is 4976640, while the sum is 54.
The spelling of 268225689600 in words is "two hundred sixty-eight billion, two hundred twenty-five million, six hundred eighty-nine thousand, six hundred".
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