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85764442013 is a prime number
BaseRepresentation
bin100111111011111110…
…1011000011110011101
322012101001221001212022
41033313331120132131
52401121144121023
6103222153345525
76124215504665
oct1176775303635
9265331831768
1085764442013
1133410878748
12147564082a5
13811a476853
14421858b1a5
15236e5c67c8
hex13f7f5879d

85764442013 has 2 divisors, whose sum is σ = 85764442014. Its totient is φ = 85764442012.

The previous prime is 85764442003. The next prime is 85764442051. The reversal of 85764442013 is 31024446758.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82931328484 + 2833113529 = 287978^2 + 53227^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85764442013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85764442003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42882221006 + 42882221007.

It is an arithmetic number, because the mean of its divisors is an integer number (42882221007).

Almost surely, 285764442013 is an apocalyptic number.

It is an amenable number.

85764442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85764442013 is an equidigital number, since it uses as much as digits as its factorization.

85764442013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 85764442013 in words is "eighty-five billion, seven hundred sixty-four million, four hundred forty-two thousand, thirteen".