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85628924093 is a prime number
BaseRepresentation
bin100111110111111100…
…0011011000010111101
322012000121221001020002
41033233320123002331
52400332001032333
6103200513004045
76120651563006
oct1175770330275
9265017831202
1085628924093
1133351328069
1214718b53625
1380c837862b
1442045921ad
1523627580e8
hex13efe1b0bd

85628924093 has 2 divisors, whose sum is σ = 85628924094. Its totient is φ = 85628924092.

The previous prime is 85628924039. The next prime is 85628924111. The reversal of 85628924093 is 39042982658.

Together with previous prime (85628924039) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71410269529 + 14218654564 = 267227^2 + 119242^2 .

It is a cyclic number.

It is not a de Polignac number, because 85628924093 - 232 = 81333956797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85628924023) 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, 42814462046 + 42814462047.

It is an arithmetic number, because the mean of its divisors is an integer number (42814462047).

Almost surely, 285628924093 is an apocalyptic number.

It is an amenable number.

85628924093 is a deficient number, since it is larger than the sum of its proper divisors (1).

85628924093 is an equidigital number, since it uses as much as digits as its factorization.

85628924093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 85628924093 in words is "eighty-five billion, six hundred twenty-eight million, nine hundred twenty-four thousand, ninety-three".