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13763106769 is a prime number
BaseRepresentation
bin11001101000101100…
…00101011111010001
31022112011201021011011
430310112011133101
5211141323404034
610153411050521
7665030322466
oct146426053721
938464637134
1013763106769
115922a07905
1228012a0a41
1313b4508179
14947c4d66d
1555843c864
hex3345857d1

13763106769 has 2 divisors, whose sum is σ = 13763106770. Its totient is φ = 13763106768.

The previous prime is 13763106767. The next prime is 13763106811. The reversal of 13763106769 is 96760136731.

13763106769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13391118400 + 371988369 = 115720^2 + 19287^2 .

It is a cyclic number.

It is not a de Polignac number, because 13763106769 - 21 = 13763106767 is a prime.

It is a super-2 number, since 2×137631067692 (a number of 21 digits) contains 22 as substring.

Together with 13763106767, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13763106767) 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, 6881553384 + 6881553385.

It is an arithmetic number, because the mean of its divisors is an integer number (6881553385).

Almost surely, 213763106769 is an apocalyptic number.

It is an amenable number.

13763106769 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763106769 is an equidigital number, since it uses as much as digits as its factorization.

13763106769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 857304, while the sum is 49.

The spelling of 13763106769 in words is "thirteen billion, seven hundred sixty-three million, one hundred six thousand, seven hundred sixty-nine".