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93906540017 is a prime number
BaseRepresentation
bin101011101110101000…
…1000001010111110001
322222101111201111120122
41113131101001113301
53014310033240032
6111050131020025
76533043264023
oct1273521012761
9288344644518
1093906540017
1136909880464
121624913a615
138b1727cc14
14478ba84013
1526992e0012
hex15dd4415f1

93906540017 has 2 divisors, whose sum is σ = 93906540018. Its totient is φ = 93906540016.

The previous prime is 93906539999. The next prime is 93906540047. The reversal of 93906540017 is 71004560939.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47560631056 + 46345908961 = 218084^2 + 215281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93906540017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93906540017.

It is not a weakly prime, because it can be changed into another prime (93906540047) 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, 46953270008 + 46953270009.

It is an arithmetic number, because the mean of its divisors is an integer number (46953270009).

Almost surely, 293906540017 is an apocalyptic number.

It is an amenable number.

93906540017 is a deficient number, since it is larger than the sum of its proper divisors (1).

93906540017 is an equidigital number, since it uses as much as digits as its factorization.

93906540017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 93906540017 in words is "ninety-three billion, nine hundred six million, five hundred forty thousand, seventeen".