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10167459157 is a prime number
BaseRepresentation
bin10010111100000011…
…10001110101010101
3222020120212102220101
421132001301311111
5131310332143112
64400523534101
7506646656032
oct113601616525
928216772811
1010167459157
1143482a1609
121b7908a331
13c605c012b
146c64b4389
153e793a757
hex25e071d55

10167459157 has 2 divisors, whose sum is σ = 10167459158. Its totient is φ = 10167459156.

The previous prime is 10167459121. The next prime is 10167459173. The reversal of 10167459157 is 75195476101.

10167459157 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., 9003352996 + 1164106161 = 94886^2 + 34119^2 .

It is a cyclic number.

It is not a de Polignac number, because 10167459157 - 211 = 10167457109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10167409157) 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, 5083729578 + 5083729579.

It is an arithmetic number, because the mean of its divisors is an integer number (5083729579).

Almost surely, 210167459157 is an apocalyptic number.

It is an amenable number.

10167459157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10167459157 is an equidigital number, since it uses as much as digits as its factorization.

10167459157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 10167459157 in words is "ten billion, one hundred sixty-seven million, four hundred fifty-nine thousand, one hundred fifty-seven".