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10664685737 is a prime number
BaseRepresentation
bin10011110111010101…
…00011000010101001
31000112020111011112122
421323222203002221
5133320124420422
64522125121025
7525165222146
oct117352430251
930466434478
1010664685737
114582a34272
1220976b9175
13100c613a44
147325473cd
15426406d42
hex27baa30a9

10664685737 has 2 divisors, whose sum is σ = 10664685738. Its totient is φ = 10664685736.

The previous prime is 10664685719. The next prime is 10664685739. The reversal of 10664685737 is 73758646601.

10664685737 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., 9267720361 + 1396965376 = 96269^2 + 37376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10664685737 - 26 = 10664685673 is a prime.

It is a super-2 number, since 2×106646857372 (a number of 21 digits) contains 22 as substring.

Together with 10664685739, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10664685739) 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, 5332342868 + 5332342869.

It is an arithmetic number, because the mean of its divisors is an integer number (5332342869).

Almost surely, 210664685737 is an apocalyptic number.

It is an amenable number.

10664685737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10664685737 is an equidigital number, since it uses as much as digits as its factorization.

10664685737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 10664685737 in words is "ten billion, six hundred sixty-four million, six hundred eighty-five thousand, seven hundred thirty-seven".