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13765809913 is a prime number
BaseRepresentation
bin11001101001000000…
…11001011011111001
31022112100210121011121
430310200121123321
5211143021404123
610153545025241
7665062311412
oct146440313371
938470717147
1013765809913
115924493809
122802185221
1313b4c4366b
14948354809
155587c375d
hex3348196f9

13765809913 has 2 divisors, whose sum is σ = 13765809914. Its totient is φ = 13765809912.

The previous prime is 13765809877. The next prime is 13765809919. The reversal of 13765809913 is 31990856731.

It is a happy number.

13765809913 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., 11506423824 + 2259386089 = 107268^2 + 47533^2 .

It is a cyclic number.

It is not a de Polignac number, because 13765809913 - 221 = 13763712761 is a prime.

It is not a weakly prime, because it can be changed into another prime (13765809919) 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, 6882904956 + 6882904957.

It is an arithmetic number, because the mean of its divisors is an integer number (6882904957).

Almost surely, 213765809913 is an apocalyptic number.

It is an amenable number.

13765809913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13765809913 is an equidigital number, since it uses as much as digits as its factorization.

13765809913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 13765809913 in words is "thirteen billion, seven hundred sixty-five million, eight hundred nine thousand, nine hundred thirteen".