Base | Representation |
---|---|
bin | 110000110100000101… |
… | …1100000110110000000 |
3 | 101000120120121120210000 |
4 | 1201220023200312000 |
5 | 3204141212014210 |
6 | 120053515440000 |
7 | 10400466224313 |
oct | 1415013406600 |
9 | 330516546700 |
10 | 104827063680 |
11 | 40503165529 |
12 | 18396456000 |
13 | 9b6789b641 |
14 | 510618697a |
15 | 2ad7dd0ac0 |
hex | 18682e0d80 |
104827063680 has 320 divisors, whose sum is σ = 379956368880. Its totient is φ = 27535749120.
The previous prime is 104827063631. The next prime is 104827063699. The reversal of 104827063680 is 86360728401.
104827063680 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 7 + 0 + 636 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 39 ways as a sum of consecutive naturals, for example, 3458190 + ... + 3488370.
Almost surely, 2104827063680 is an apocalyptic number.
104827063680 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 104827063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189978184440).
104827063680 is an abundant number, since it is smaller than the sum of its proper divisors (275129305200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104827063680 is an equidigital number, since it uses as much as digits as its factorization.
104827063680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30279 (or 30258 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The spelling of 104827063680 in words is "one hundred four billion, eight hundred twenty-seven million, sixty-three thousand, six hundred eighty".
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