| Base | Representation |
|---|---|
| bin | 1011101110100101111100… |
| … | …0000011000100000000000 |
| 3 | 1200122202110200211211222000 |
| 4 | 2323221133000120200000 |
| 5 | 3142233113423232324 |
| 6 | 43231530504144000 |
| 7 | 2500432150304160 |
| oct | 273513700304000 |
| 9 | 50582420754860 |
| 10 | 12895085758464 |
| 11 | 4121858811258 |
| 12 | 15431a2168000 |
| 13 | 727003015560 |
| 14 | 3281a84685a0 |
| 15 | 17566dcd59c9 |
| hex | bba5f018800 |
12895085758464 has 768 divisors, whose sum is σ = 47288279001600. Its totient is φ = 3381015085056.
The previous prime is 12895085758441. The next prime is 12895085758531. The reversal of 12895085758464 is 46485758059821.
12895085758464 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 5 + 0 + 8 + 575 + 8 + 46 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 12895085758392 and 12895085758401.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870517522 + ... + 870532334.
It is an arithmetic number, because the mean of its divisors is an integer number (61573279950).
Almost surely, 212895085758464 is an apocalyptic number.
12895085758464 is a gapful number since it is divisible by the number (14) 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 12895085758464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23644139500800).
12895085758464 is an abundant number, since it is smaller than the sum of its proper divisors (34393193243136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12895085758464 is a wasteful number, since it uses less digits than its factorization.
12895085758464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15037 (or 15011 counting only the distinct ones).
The product of its (nonzero) digits is 774144000, while the sum is 72.
The spelling of 12895085758464 in words is "twelve trillion, eight hundred ninety-five billion, eighty-five million, seven hundred fifty-eight thousand, four hundred sixty-four".
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