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13805997841 is a prime number
BaseRepresentation
bin11001101101110011…
…01100111100010001
31022122011102100122101
430312321230330101
5211233313412331
610201542240401
7666061021366
oct146671547421
938564370571
1013805997841
115945142579
122813726101
1313c03748bc
1494d81646d
1555c0b1061
hex336e6cf11

13805997841 has 2 divisors, whose sum is σ = 13805997842. Its totient is φ = 13805997840.

The previous prime is 13805997791. The next prime is 13805997853. The reversal of 13805997841 is 14879950831.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11219258241 + 2586739600 = 105921^2 + 50860^2 .

It is a cyclic number.

It is not a de Polignac number, because 13805997841 - 217 = 13805866769 is a prime.

It is a super-2 number, since 2×138059978412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13805997241) 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, 6902998920 + 6902998921.

It is an arithmetic number, because the mean of its divisors is an integer number (6902998921).

Almost surely, 213805997841 is an apocalyptic number.

It is an amenable number.

13805997841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13805997841 is an equidigital number, since it uses as much as digits as its factorization.

13805997841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 13805997841 in words is "thirteen billion, eight hundred five million, nine hundred ninety-seven thousand, eight hundred forty-one".