| Base | Representation |
|---|---|
| bin | 10010110011000000000100… |
| … | …010011110100000000000000 |
| 3 | 101211201010200202112022221100 |
| 4 | 102303000010103310000000 |
| 5 | 41313424321310103000 |
| 6 | 451453520301454400 |
| 7 | 23261452552500264 |
| oct | 2263000423640000 |
| 9 | 354633622468840 |
| 10 | 82669602816000 |
| 11 | 24382a88663352 |
| 12 | 9331b0a871400 |
| 13 | 37189301047c5 |
| 14 | 165b3316700a4 |
| 15 | 98565d08aa00 |
| hex | 4b30044f4000 |
82669602816000 has 1440 divisors, whose sum is σ = 307898926957440. Its totient is φ = 21325676544000.
The previous prime is 82669602815999. The next prime is 82669602816011. The reversal of 82669602816000 is 61820696628.
It is a happy number.
82669602816000 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 9 + 6 + 0 + 28 + 1 + 600 + 0 = 666.
82669602816000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105043967607 + ... + 105043968393.
It is an arithmetic number, because the mean of its divisors is an integer number (213818699276).
Almost surely, 282669602816000 is an apocalyptic number.
82669602816000 is a gapful number since it is divisible by the number (80) 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 82669602816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153949463478720).
82669602816000 is an abundant number, since it is smaller than the sum of its proper divisors (225229324141440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82669602816000 is a wasteful number, since it uses less digits than its factorization.
82669602816000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1016 (or 977 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The spelling of 82669602816000 in words is "eighty-two trillion, six hundred sixty-nine billion, six hundred two million, eight hundred sixteen thousand".
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