Base | Representation |
---|---|
bin | 10110111101100010… |
… | …10001111110000000 |
3 | 1011211010011120010121 |
4 | 23132301101332000 |
5 | 200221303121300 |
6 | 5355122510024 |
7 | 614325062461 |
oct | 133661217600 |
9 | 34733146117 |
10 | 12327395200 |
11 | 525654751a |
12 | 2480505314 |
13 | 1215c34ab3 |
14 | 84d2c2d68 |
15 | 4c239181a |
hex | 2dec51f80 |
12327395200 has 96 divisors (see below), whose sum is σ = 30491418960. Its totient is φ = 4924661760.
The previous prime is 12327395173. The next prime is 12327395203. The reversal of 12327395200 is 259372321.
12327395200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12327395203) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 3124429 + ... + 3128371.
Almost surely, 212327395200 is an apocalyptic number.
12327395200 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 12327395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245709480).
12327395200 is an abundant number, since it is smaller than the sum of its proper divisors (18164023760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12327395200 is an equidigital number, since it uses as much as digits as its factorization.
12327395200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4944 (or 4927 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 34.
The spelling of 12327395200 in words is "twelve billion, three hundred twenty-seven million, three hundred ninety-five thousand, two hundred".
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