Base | Representation |
---|---|
bin | 10111011000110100… |
… | …11010100111010000 |
3 | 1012102001212020020100 |
4 | 23230122122213100 |
5 | 201203402013240 |
6 | 5433540412400 |
7 | 623104432041 |
oct | 135432324720 |
9 | 35361766210 |
10 | 12556282320 |
11 | 536376a82a |
12 | 25250a7100 |
13 | 125149466a |
14 | 8718648c8 |
15 | 4d7504e30 |
hex | 2ec69a9d0 |
12556282320 has 120 divisors (see below), whose sum is σ = 42243669000. Its totient is φ = 3342348288.
The previous prime is 12556282309. The next prime is 12556282363. The reversal of 12556282320 is 2328265521.
It is a happy number.
12556282320 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 628 + 2 + 3 + 20 = 666.
12556282320 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 428986944 + 12127295376 = 20712^2 + 110124^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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, 394356 + ... + 425004.
It is an arithmetic number, because the mean of its divisors is an integer number (352030575).
Almost surely, 212556282320 is an apocalyptic number.
12556282320 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 12556282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121834500).
12556282320 is an abundant number, since it is smaller than the sum of its proper divisors (29687386680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12556282320 is a wasteful number, since it uses less digits than its factorization.
12556282320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31237 (or 31228 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The spelling of 12556282320 in words is "twelve billion, five hundred fifty-six million, two hundred eighty-two thousand, three hundred twenty".
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