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13743136369 is a prime number
BaseRepresentation
bin11001100110010011…
…11001111001110001
31022110210010122220201
430303021321321301
5211121220330434
610151415035201
7664365505654
oct146311717161
938423118821
1013743136369
115912707846
1227b666bb01
1313b0335371
1494533189b
155567e5614
hex333279e71

13743136369 has 2 divisors, whose sum is σ = 13743136370. Its totient is φ = 13743136368.

The previous prime is 13743136367. The next prime is 13743136397. The reversal of 13743136369 is 96363134731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8133875344 + 5609261025 = 90188^2 + 74895^2 .

It is a cyclic number.

It is not a de Polignac number, because 13743136369 - 21 = 13743136367 is a prime.

It is a super-2 number, since 2×137431363692 (a number of 21 digits) contains 22 as substring.

Together with 13743136367, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13743136361) 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, 6871568184 + 6871568185.

It is an arithmetic number, because the mean of its divisors is an integer number (6871568185).

Almost surely, 213743136369 is an apocalyptic number.

It is an amenable number.

13743136369 is a deficient number, since it is larger than the sum of its proper divisors (1).

13743136369 is an equidigital number, since it uses as much as digits as its factorization.

13743136369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 46.

The spelling of 13743136369 in words is "thirteen billion, seven hundred forty-three million, one hundred thirty-six thousand, three hundred sixty-nine".