Base | Representation |
---|---|
bin | 110000101101110010… |
… | …1011101001000000000 |
3 | 101000000212000021011000 |
4 | 1201123211131020000 |
5 | 3203223113313014 |
6 | 120020530452000 |
7 | 10362322201602 |
oct | 1413345351000 |
9 | 330025007130 |
10 | 104615760384 |
11 | 40404962203 |
12 | 18337734000 |
13 | 9b32b874c5 |
14 | 50c60a1172 |
15 | 2ac4592509 |
hex | 185b95d200 |
104615760384 has 320 divisors, whose sum is σ = 317948400000. Its totient is φ = 33952628736.
The previous prime is 104615760367. The next prime is 104615760413. The reversal of 104615760384 is 483067516401.
104615760384 is a `hidden beast` number, since 1 + 0 + 46 + 1 + 576 + 0 + 38 + 4 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83758992 + ... + 83760240.
It is an arithmetic number, because the mean of its divisors is an integer number (993588750).
Almost surely, 2104615760384 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 104615760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158974200000).
104615760384 is an abundant number, since it is smaller than the sum of its proper divisors (213332639616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104615760384 is an equidigital number, since it uses as much as digits as its factorization.
104615760384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1432 (or 1410 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 104615760384 in words is "one hundred four billion, six hundred fifteen million, seven hundred sixty thousand, three hundred eighty-four".
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