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64042129 is a prime number
BaseRepresentation
bin1111010001001…
…1010010010001
311110111200021201
43310103102101
5112343322004
610204351201
71405230514
oct364232221
9143450251
1064042129
1133171888
1219545501
1310363a68
148710d7b
1559506a4
hex3d13491

64042129 has 2 divisors, whose sum is σ = 64042130. Its totient is φ = 64042128.

The previous prime is 64042127. The next prime is 64042133. The reversal of 64042129 is 92124046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63632529 + 409600 = 7977^2 + 640^2 .

It is a cyclic number.

It is not a de Polignac number, because 64042129 - 21 = 64042127 is a prime.

Together with 64042127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 64042097 and 64042106.

It is not a weakly prime, because it can be changed into another prime (64042127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32021064 + 32021065.

It is an arithmetic number, because the mean of its divisors is an integer number (32021065).

Almost surely, 264042129 is an apocalyptic number.

It is an amenable number.

64042129 is a deficient number, since it is larger than the sum of its proper divisors (1).

64042129 is an equidigital number, since it uses as much as digits as its factorization.

64042129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 64042129 is about 8002.6326293289. The cubic root of 64042129 is about 400.0877494987.

The spelling of 64042129 in words is "sixty-four million, forty-two thousand, one hundred twenty-nine".