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12824656393 is a prime number
BaseRepresentation
bin10111111000110100…
…01011101000001001
31020002202212001020211
423330122023220021
5202231103001033
65520324521121
7632543531533
oct137432135011
936082761224
1012824656393
11549120318a
12259ab501a1
131294c6b3a3
14899364853
15500d682cd
hex2fc68ba09

12824656393 has 2 divisors, whose sum is σ = 12824656394. Its totient is φ = 12824656392.

The previous prime is 12824656391. The next prime is 12824656517. The reversal of 12824656393 is 39365642821.

12824656393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12421771209 + 402885184 = 111453^2 + 20072^2 .

It is a cyclic number.

It is not a de Polignac number, because 12824656393 - 21 = 12824656391 is a prime.

Together with 12824656391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12824656391) 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 as a sum of consecutive naturals, namely, 6412328196 + 6412328197.

It is an arithmetic number, because the mean of its divisors is an integer number (6412328197).

Almost surely, 212824656393 is an apocalyptic number.

It is an amenable number.

12824656393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12824656393 is an equidigital number, since it uses as much as digits as its factorization.

12824656393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 49.

The spelling of 12824656393 in words is "twelve billion, eight hundred twenty-four million, six hundred fifty-six thousand, three hundred ninety-three".