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2057147167 is a prime number
BaseRepresentation
bin111101010011101…
…1001001100011111
312022100212220101211
41322213121030133
513203112202132
6540043445251
7101656314415
oct17247311437
95270786354
102057147167
1196622a129
12494b26827
1326a26595a
141572d32b5
15c0900147
hex7a9d931f

2057147167 has 2 divisors, whose sum is σ = 2057147168. Its totient is φ = 2057147166.

The previous prime is 2057147153. The next prime is 2057147173. The reversal of 2057147167 is 7617417502.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2057147167 - 27 = 2057147039 is a prime.

It is a super-2 number, since 2×20571471672 = 8463708933392251778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2057147107) 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, 1028573583 + 1028573584.

It is an arithmetic number, because the mean of its divisors is an integer number (1028573584).

Almost surely, 22057147167 is an apocalyptic number.

2057147167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057147167 is an equidigital number, since it uses as much as digits as its factorization.

2057147167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 40.

The square root of 2057147167 is about 45355.7842727915. The cubic root of 2057147167 is about 1271.8086877126.

The spelling of 2057147167 in words is "two billion, fifty-seven million, one hundred forty-seven thousand, one hundred sixty-seven".