| Base | Representation |
|---|---|
| bin | 11111000011011110110100… |
| … | …11101000011100100000000 |
| 3 | 22221210101202020000102010000 |
| 4 | 33201233122131003210000 |
| 5 | 32422323042110321320 |
| 6 | 401123405551040000 |
| 7 | 20245512520222110 |
| oct | 1741573235034400 |
| 9 | 287711666012100 |
| 10 | 68289350088960 |
| 11 | 1a839394909870 |
| 12 | 77aab25210000 |
| 13 | 2c14872a61430 |
| 14 | 12c1317939040 |
| 15 | 7d656923cc90 |
| hex | 3e1bda743900 |
68289350088960 has 2880 divisors, whose sum is σ = 328919867781120. Its totient is φ = 13064993832960.
The previous prime is 68289350088959. The next prime is 68289350089021. The reversal of 68289350088960 is 6988005398286.
68289350088960 is a `hidden beast` number, since 6 + 8 + 28 + 9 + 3 + 500 + 8 + 8 + 96 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-3 number, since 3×682893500889603 (a number of 42 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 64242097389 + ... + 64242098451.
It is an arithmetic number, because the mean of its divisors is an integer number (114208287424).
Almost surely, 268289350088960 is an apocalyptic number.
68289350088960 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 68289350088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164459933890560).
68289350088960 is an abundant number, since it is smaller than the sum of its proper divisors (260630517692160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68289350088960 is a wasteful number, since it uses less digits than its factorization.
68289350088960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1746 (or 1723 counting only the distinct ones).
The product of its (nonzero) digits is 358318080, while the sum is 72.
The spelling of 68289350088960 in words is "sixty-eight trillion, two hundred eighty-nine billion, three hundred fifty million, eighty-eight thousand, nine hundred sixty".
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