Base | Representation |
---|---|
bin | 11000001000111111… |
… | …01011001110101000 |
3 | 1020110020010011220000 |
4 | 30010133223032220 |
5 | 203020320024110 |
6 | 5542012303000 |
7 | 636111565554 |
oct | 140437531650 |
9 | 36406104800 |
10 | 12960314280 |
11 | 5550839a41 |
12 | 2618471a60 |
13 | 12b70b8224 |
14 | 8ad398864 |
15 | 50cc131c0 |
hex | 3047eb3a8 |
12960314280 has 160 divisors (see below), whose sum is σ = 43660580040. Its totient is φ = 3448189440.
The previous prime is 12960314273. The next prime is 12960314291. The reversal of 12960314280 is 8241306921.
12960314280 is a `hidden beast` number, since 1 + 2 + 9 + 60 + 314 + 280 = 666.
12960314280 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 7846062084 + 5114252196 = 88578^2 + 71514^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
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 39 ways as a sum of consecutive naturals, for example, 1489302 + ... + 1497978.
Almost surely, 212960314280 is an apocalyptic number.
12960314280 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 12960314280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830290020).
12960314280 is an abundant number, since it is smaller than the sum of its proper divisors (30700265760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12960314280 is a wasteful number, since it uses less digits than its factorization.
12960314280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9161 (or 9148 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 12960314280 in words is "twelve billion, nine hundred sixty million, three hundred fourteen thousand, two hundred eighty".
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