Base | Representation |
---|---|
bin | 10000000100110110110… |
… | …110100011001000000000 |
3 | 10220121111022111100200000 |
4 | 100010312312203020000 |
5 | 121044440034130014 |
6 | 2203300550400000 |
7 | 142546106261163 |
oct | 20046666431000 |
9 | 3817438440600 |
10 | 1104726864384 |
11 | 39656a573190 |
12 | 15a12a960000 |
13 | 80238183a50 |
14 | 3b67d189ada |
15 | 1db0a953509 |
hex | 10136da3200 |
1104726864384 has 960 divisors, whose sum is σ = 4011751231488. Its totient is φ = 298896998400.
The previous prime is 1104726864317. The next prime is 1104726864389. The reversal of 1104726864384 is 4834686274011.
1104726864384 is a `hidden beast` number, since 1 + 10 + 472 + 6 + 86 + 4 + 3 + 84 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 1104726864384.
It is not an unprimeable number, because it can be changed into a prime (1104726864389) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551535127 + ... + 551537129.
Almost surely, 21104726864384 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 1104726864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005875615744).
1104726864384 is an abundant number, since it is smaller than the sum of its proper divisors (2907024367104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1104726864384 is a wasteful number, since it uses less digits than its factorization.
1104726864384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2091 (or 2063 counting only the distinct ones).
The product of its (nonzero) digits is 6193152, while the sum is 54.
The spelling of 1104726864384 in words is "one trillion, one hundred four billion, seven hundred twenty-six million, eight hundred sixty-four thousand, three hundred eighty-four".
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