| Base | Representation |
|---|---|
| bin | 11000001011010101110110… |
| … | …000011100011100000000000 |
| 3 | 111221111021201202220102000200 |
| 4 | 120023111312003203200000 |
| 5 | 102414122412403143100 |
| 6 | 1014052245242245200 |
| 7 | 31253161062014265 |
| oct | 3013256603434000 |
| 9 | 457437652812020 |
| 10 | 106332485990400 |
| 11 | 3097639929427a |
| 12 | bb13b464b6800 |
| 13 | 4744158732267 |
| 14 | 1c3873c3d326c |
| 15 | c45e42deee00 |
| hex | 60b5760e3800 |
106332485990400 has 1728 divisors, whose sum is σ = 405225501408000. Its totient is φ = 26591979110400.
The previous prime is 106332485990351. The next prime is 106332485990441. The reversal of 106332485990400 is 4099584233601.
106332485990400 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 3 + 2 + 4 + 8 + 599 + 0 + 40 + 0 = 666.
106332485990400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1063324859904003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131112805995 + ... + 131112806805.
It is an arithmetic number, because the mean of its divisors is an integer number (234505498500).
Almost surely, 2106332485990400 is an apocalyptic number.
106332485990400 is a gapful number since it is divisible by the number (10) 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 106332485990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202612750704000).
106332485990400 is an abundant number, since it is smaller than the sum of its proper divisors (298893015417600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106332485990400 is a wasteful number, since it uses less digits than its factorization.
106332485990400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1100 (or 1072 counting only the distinct ones).
The product of its (nonzero) digits is 5598720, while the sum is 54.
The spelling of 106332485990400 in words is "one hundred six trillion, three hundred thirty-two billion, four hundred eighty-five million, nine hundred ninety thousand, four hundred".
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