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86224716029 is a prime number
BaseRepresentation
bin101000001001101100…
…1001100000011111101
322020120011000102010002
41100103121030003331
52403042011403104
6103335554524045
76141504664514
oct1202331140375
9266504012102
1086224716029
11336276713a1
1214864596625
13819192ca3a
14425d76167b
152399be401e
hex141364c0fd

86224716029 has 2 divisors, whose sum is σ = 86224716030. Its totient is φ = 86224716028.

The previous prime is 86224716007. The next prime is 86224716037. The reversal of 86224716029 is 92061742268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50926948900 + 35297767129 = 225670^2 + 187877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86224716029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86224716079) 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, 43112358014 + 43112358015.

It is an arithmetic number, because the mean of its divisors is an integer number (43112358015).

Almost surely, 286224716029 is an apocalyptic number.

It is an amenable number.

86224716029 is a deficient number, since it is larger than the sum of its proper divisors (1).

86224716029 is an equidigital number, since it uses as much as digits as its factorization.

86224716029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 86224716029 in words is "eighty-six billion, two hundred twenty-four million, seven hundred sixteen thousand, twenty-nine".