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13524352993 is a prime number
BaseRepresentation
bin11001001100001110…
…10011111111100001
31021220112110022112201
430212013103333201
5210144213243433
610114001453201
7656101050364
oct144607237741
937815408481
1013524352993
115810165638
122755341201
131376c02648
149242600db
155424caa7d
hex3261d3fe1

13524352993 has 2 divisors, whose sum is σ = 13524352994. Its totient is φ = 13524352992.

The previous prime is 13524352967. The next prime is 13524353081. The reversal of 13524352993 is 39925342531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11910884769 + 1613468224 = 109137^2 + 40168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13524352993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13524352903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6762176496 + 6762176497.

It is an arithmetic number, because the mean of its divisors is an integer number (6762176497).

Almost surely, 213524352993 is an apocalyptic number.

It is an amenable number.

13524352993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13524352993 is an equidigital number, since it uses as much as digits as its factorization.

13524352993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 874800, while the sum is 46.

The spelling of 13524352993 in words is "thirteen billion, five hundred twenty-four million, three hundred fifty-two thousand, nine hundred ninety-three".