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12683824369 is a prime number
BaseRepresentation
bin10111101000000001…
…11100110011110001
31012201221212001000221
423310000330303301
5201434024334434
65454334213041
7626213504536
oct136400746361
935657761027
1012683824369
115419762a87
12255b954181
131271a2c428
14884784d8d
154e37ea2b4
hex2f403ccf1

12683824369 has 2 divisors, whose sum is σ = 12683824370. Its totient is φ = 12683824368.

The previous prime is 12683824301. The next prime is 12683824393. The reversal of 12683824369 is 96342838621.

12683824369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8871379344 + 3812445025 = 94188^2 + 61745^2 .

It is a cyclic number.

It is not a de Polignac number, because 12683824369 - 229 = 12146953457 is a prime.

It is a super-2 number, since 2×126838243692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12683824969) 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, 6341912184 + 6341912185.

It is an arithmetic number, because the mean of its divisors is an integer number (6341912185).

Almost surely, 212683824369 is an apocalyptic number.

It is an amenable number.

12683824369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12683824369 is an equidigital number, since it uses as much as digits as its factorization.

12683824369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2985984, while the sum is 52.

The spelling of 12683824369 in words is "twelve billion, six hundred eighty-three million, eight hundred twenty-four thousand, three hundred sixty-nine".