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85593485041 is a prime number
BaseRepresentation
bin100111110110111000…
…1001110111011110001
322011221011020112222121
41033231301032323301
52400243413010131
6103153205234241
76120041422111
oct1175561167361
9264834215877
1085593485041
1133333322199
1214709102981
1380c0c1aa8c
1441dd9a9041
15235e5a7911
hex13edc4eef1

85593485041 has 2 divisors, whose sum is σ = 85593485042. Its totient is φ = 85593485040.

The previous prime is 85593484993. The next prime is 85593485063. The reversal of 85593485041 is 14058439558.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83142839025 + 2450646016 = 288345^2 + 49504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85593485041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85593485041.

It is not a weakly prime, because it can be changed into another prime (85593485441) 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, 42796742520 + 42796742521.

It is an arithmetic number, because the mean of its divisors is an integer number (42796742521).

Almost surely, 285593485041 is an apocalyptic number.

It is an amenable number.

85593485041 is a deficient number, since it is larger than the sum of its proper divisors (1).

85593485041 is an equidigital number, since it uses as much as digits as its factorization.

85593485041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456000, while the sum is 52.

The spelling of 85593485041 in words is "eighty-five billion, five hundred ninety-three million, four hundred eighty-five thousand, forty-one".