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13763876417 is a prime number
BaseRepresentation
bin11001101000110010…
…00001011001000001
31022112020011100220122
430310121001121001
5211142023021132
610153435350025
7665040006404
oct146431013101
938466140818
1013763876417
115923393085
1228015b2315
1313b4717595
14947dadd3b
15558540912
hex334641641

13763876417 has 2 divisors, whose sum is σ = 13763876418. Its totient is φ = 13763876416.

The previous prime is 13763876377. The next prime is 13763876449. The reversal of 13763876417 is 71467836731.

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., 9622825216 + 4141051201 = 98096^2 + 64351^2 .

It is an emirp because it is prime and its reverse (71467836731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13763876417 is a prime.

It is not a weakly prime, because it can be changed into another prime (13763876117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6881938208 + 6881938209.

It is an arithmetic number, because the mean of its divisors is an integer number (6881938209).

Almost surely, 213763876417 is an apocalyptic number.

It is an amenable number.

13763876417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763876417 is an equidigital number, since it uses as much as digits as its factorization.

13763876417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3556224, while the sum is 53.

The spelling of 13763876417 in words is "thirteen billion, seven hundred sixty-three million, eight hundred seventy-six thousand, four hundred seventeen".