| Base | Representation |
|---|---|
| bin | 1010011001011101010100… |
| … | …10010101011101001000000 |
| 3 | 2222221212110221002102210100 |
| 4 | 11030232222102223221000 |
| 5 | 10444104423243100142 |
| 6 | 120344004332002400 |
| 7 | 4546640135510514 |
| oct | 514565222535100 |
| 9 | 88855427072710 |
| 10 | 22864967940672 |
| 11 | 7315a8434aa70 |
| 12 | 2693473600400 |
| 13 | c9b207567100 |
| 14 | 590955640144 |
| 15 | 299b84acab4c |
| hex | 14cbaa4aba40 |
22864967940672 has 1008 divisors, whose sum is σ = 80925043006080. Its totient is φ = 6110783078400.
The previous prime is 22864967940641. The next prime is 22864967940679. The reversal of 22864967940672 is 27604976946822.
22864967940672 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 496 + 79 + 4 + 0 + 67 + 2 = 666.
It is a super-3 number, since 3×228649679406723 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 22864967940672.
It is not an unprimeable number, because it can be changed into a prime (22864967940679) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3012111597 + ... + 3012119187.
It is an arithmetic number, because the mean of its divisors is an integer number (80282780760).
Almost surely, 222864967940672 is an apocalyptic number.
22864967940672 is a gapful number since it is divisible by the number (22) 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 22864967940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40462521503040).
22864967940672 is an abundant number, since it is smaller than the sum of its proper divisors (58060075065408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22864967940672 is a wasteful number, since it uses less digits than its factorization.
22864967940672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7772 (or 7746 counting only the distinct ones).
The product of its (nonzero) digits is 877879296, while the sum is 72.
The spelling of 22864967940672 in words is "twenty-two trillion, eight hundred sixty-four billion, nine hundred sixty-seven million, nine hundred forty thousand, six hundred seventy-two".
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