Base | Representation |
---|---|
bin | 10110100100011101… |
… | …11100100101101000 |
3 | 1011021110101211122100 |
4 | 23102032330211220 |
5 | 144303432140021 |
6 | 5322210453400 |
7 | 606162244155 |
oct | 132216744550 |
9 | 34243354570 |
10 | 12117068136 |
11 | 51588506a8 |
12 | 2421b94260 |
13 | 11b14a3104 |
14 | 82d3b322c |
15 | 4adb97626 |
hex | 2d23bc968 |
12117068136 has 96 divisors (see below), whose sum is σ = 33740427240. Its totient is φ = 3925615104.
The previous prime is 12117068107. The next prime is 12117068149. The reversal of 12117068136 is 63186071121.
12117068136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 11918088900 + 198979236 = 109170^2 + 14106^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 12117068136.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3293530 + ... + 3297206.
Almost surely, 212117068136 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 12117068136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870213620).
12117068136 is an abundant number, since it is smaller than the sum of its proper divisors (21623359104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12117068136 is a wasteful number, since it uses less digits than its factorization.
12117068136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4963 (or 4956 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The spelling of 12117068136 in words is "twelve billion, one hundred seventeen million, sixty-eight thousand, one hundred thirty-six".
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