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57668129 is a prime number
BaseRepresentation
bin1101101111111…
…1001000100001
311000111211210122
43123333020201
5104230340004
65420010025
71300112441
oct333771041
9130454718
1057668129
112a608a12
1217390915
13bc4176c
147932121
1550e1cbe
hex36ff221

57668129 has 2 divisors, whose sum is σ = 57668130. Its totient is φ = 57668128.

The previous prime is 57668123. The next prime is 57668147. The reversal of 57668129 is 92186675.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51552400 + 6115729 = 7180^2 + 2473^2 .

It is a cyclic number.

It is not a de Polignac number, because 57668129 - 24 = 57668113 is a prime.

It is a super-2 number, since 2×576681292 = 6651226204721282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57668129.

It is not a weakly prime, because it can be changed into another prime (57668123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28834064 + 28834065.

It is an arithmetic number, because the mean of its divisors is an integer number (28834065).

Almost surely, 257668129 is an apocalyptic number.

It is an amenable number.

57668129 is a deficient number, since it is larger than the sum of its proper divisors (1).

57668129 is an equidigital number, since it uses as much as digits as its factorization.

57668129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 44.

The square root of 57668129 is about 7593.9534499495. The cubic root of 57668129 is about 386.3479573363.

The spelling of 57668129 in words is "fifty-seven million, six hundred sixty-eight thousand, one hundred twenty-nine".