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85353510029 is a prime number
BaseRepresentation
bin100111101111101110…
…1110011010010001101
322011022102200120011012
41033133131303102031
52344300444310104
6103113313535005
76111065602364
oct1173735632215
9264272616135
1085353510029
113321a916437
1214660874465
1380832a8428
1441b9b7c7db
1523484a3d6e
hex13df77348d

85353510029 has 2 divisors, whose sum is σ = 85353510030. Its totient is φ = 85353510028.

The previous prime is 85353509947. The next prime is 85353510037. The reversal of 85353510029 is 92001535358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56622582025 + 28730928004 = 237955^2 + 169502^2 .

It is a cyclic number.

It is not a de Polignac number, because 85353510029 - 216 = 85353444493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85353510329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42676755014 + 42676755015.

It is an arithmetic number, because the mean of its divisors is an integer number (42676755015).

Almost surely, 285353510029 is an apocalyptic number.

It is an amenable number.

85353510029 is a deficient number, since it is larger than the sum of its proper divisors (1).

85353510029 is an equidigital number, since it uses as much as digits as its factorization.

85353510029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 85353510029 in words is "eighty-five billion, three hundred fifty-three million, five hundred ten thousand, twenty-nine".