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85455186329 is a prime number
BaseRepresentation
bin100111110010110000…
…1101010100110011001
322011120112000020211002
41033211201222212121
52400003011430304
6103131345114345
76113442045632
oct1174541524631
9264515006732
1085455186329
1133272252337
121468a9289b5
13809b387c16
1441c9488889
15235238a31e
hex13e586a999

85455186329 has 2 divisors, whose sum is σ = 85455186330. Its totient is φ = 85455186328.

The previous prime is 85455186319. The next prime is 85455186379. The reversal of 85455186329 is 92368155458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78373122304 + 7082064025 = 279952^2 + 84155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85455186329 is a prime.

It is not a weakly prime, because it can be changed into another prime (85455186319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42727593164 + 42727593165.

It is an arithmetic number, because the mean of its divisors is an integer number (42727593165).

Almost surely, 285455186329 is an apocalyptic number.

It is an amenable number.

85455186329 is a deficient number, since it is larger than the sum of its proper divisors (1).

85455186329 is an equidigital number, since it uses as much as digits as its factorization.

85455186329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368000, while the sum is 56.

The spelling of 85455186329 in words is "eighty-five billion, four hundred fifty-five million, one hundred eighty-six thousand, three hundred twenty-nine".