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14632908013 is a prime number
BaseRepresentation
bin11011010000011000…
…00111010011101101
31101202210101202011001
431220030013103231
5214432011024023
610420002000301
71025421444253
oct155014072355
941683352131
1014632908013
116229993409
122a04646091
1314c278a269
149cb5885d3
155a99a16ad
hex3683074ed

14632908013 has 2 divisors, whose sum is σ = 14632908014. Its totient is φ = 14632908012.

The previous prime is 14632907987. The next prime is 14632908097. The reversal of 14632908013 is 31080923641.

14632908013 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., 12598266564 + 2034641449 = 112242^2 + 45107^2 .

It is a cyclic number.

It is not a de Polignac number, because 14632908013 - 29 = 14632907501 is a prime.

It is a super-3 number, since 3×146329080133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14632908413) 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, 7316454006 + 7316454007.

It is an arithmetic number, because the mean of its divisors is an integer number (7316454007).

Almost surely, 214632908013 is an apocalyptic number.

It is an amenable number.

14632908013 is a deficient number, since it is larger than the sum of its proper divisors (1).

14632908013 is an equidigital number, since it uses as much as digits as its factorization.

14632908013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 14632908013 in words is "fourteen billion, six hundred thirty-two million, nine hundred eight thousand, thirteen".