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10257166079 is a prime number
BaseRepresentation
bin10011000110101111…
…11110111011111111
3222110211200000122222
421203113332323333
5132001313303304
64413450355555
7512116321166
oct114327767377
928424600588
1010257166079
1143939a2766
121ba312bbbb
13c7606b854
146d43863dd
1540075a4be
hex2635feeff

10257166079 has 2 divisors, whose sum is σ = 10257166080. Its totient is φ = 10257166078.

The previous prime is 10257166067. The next prime is 10257166081. The reversal of 10257166079 is 97066175201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10257166079 is a prime.

It is a Sophie Germain prime.

Together with 10257166081, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10257166009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128583039 + 5128583040.

It is an arithmetic number, because the mean of its divisors is an integer number (5128583040).

Almost surely, 210257166079 is an apocalyptic number.

10257166079 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257166079 is an equidigital number, since it uses as much as digits as its factorization.

10257166079 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 10257166079 in words is "ten billion, two hundred fifty-seven million, one hundred sixty-six thousand, seventy-nine".