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85593484993 is a prime number
BaseRepresentation
bin100111110110111000…
…1001110111011000001
322011221011020112220211
41033231301032323001
52400243413004433
6103153205234121
76120041422012
oct1175561167301
9264834215824
1085593484993
1133333322155
1214709102941
1380c0c1aa53
1441dd9a9009
15235e5a78cd
hex13edc4eec1

85593484993 has 2 divisors, whose sum is σ = 85593484994. Its totient is φ = 85593484992.

The previous prime is 85593484937. The next prime is 85593485041. The reversal of 85593484993 is 39948439558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58647277584 + 26946207409 = 242172^2 + 164153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85593484993 is a prime.

It is a super-3 number, since 3×855934849933 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85593484903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42796742496 + 42796742497.

It is an arithmetic number, because the mean of its divisors is an integer number (42796742497).

Almost surely, 285593484993 is an apocalyptic number.

It is an amenable number.

85593484993 is a deficient number, since it is larger than the sum of its proper divisors (1).

85593484993 is an equidigital number, since it uses as much as digits as its factorization.

85593484993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 167961600, while the sum is 67.

The spelling of 85593484993 in words is "eighty-five billion, five hundred ninety-three million, four hundred eighty-four thousand, nine hundred ninety-three".