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693345440017 is a prime number
BaseRepresentation
bin10100001011011101001…
…10111101000100010001
32110021122102202201120101
422011232212331010101
542324432413040032
61250303555012401
7101043514000006
oct12055646750421
92407572681511
10693345440017
1124805647524a
12b245bb9a101
13504c78b1799
14257b55c98ad
151307ec75de7
hexa16e9bd111

693345440017 has 2 divisors, whose sum is σ = 693345440018. Its totient is φ = 693345440016.

The previous prime is 693345440009. The next prime is 693345440027. The reversal of 693345440017 is 710044543396.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 665014154256 + 28331285761 = 815484^2 + 168319^2 .

It is a cyclic number.

It is not a de Polignac number, because 693345440017 - 23 = 693345440009 is a prime.

It is not a weakly prime, because it can be changed into another prime (693345440027) 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, 346672720008 + 346672720009.

It is an arithmetic number, because the mean of its divisors is an integer number (346672720009).

Almost surely, 2693345440017 is an apocalyptic number.

It is an amenable number.

693345440017 is a deficient number, since it is larger than the sum of its proper divisors (1).

693345440017 is an equidigital number, since it uses as much as digits as its factorization.

693345440017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 693345440017 in words is "six hundred ninety-three billion, three hundred forty-five million, four hundred forty thousand, seventeen".