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2691593091017 is a prime number
BaseRepresentation
bin100111001010101111011…
…100110011011111001001
3100112022110202021000121122
4213022233130303133021
5323044340312403032
65420300101045025
7365314120532615
oct47125734633711
910468422230548
102691593091017
11948553148316
123757950b6775
13166a7c09ac4c
14943b9448345
154a033eae012
hex272af7337c9

2691593091017 has 2 divisors, whose sum is σ = 2691593091018. Its totient is φ = 2691593091016.

The previous prime is 2691593091007. The next prime is 2691593091043. The reversal of 2691593091017 is 7101903951962.

2691593091017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2567080088521 + 124513002496 = 1602211^2 + 352864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2691593091017 - 28 = 2691593090761 is a prime.

It is a super-2 number, since 2×26915930910172 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2691593091017.

It is not a weakly prime, because it can be changed into another prime (2691593091007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1345796545508 + 1345796545509.

It is an arithmetic number, because the mean of its divisors is an integer number (1345796545509).

Almost surely, 22691593091017 is an apocalyptic number.

It is an amenable number.

2691593091017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2691593091017 is an equidigital number, since it uses as much as digits as its factorization.

2691593091017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 918540, while the sum is 53.

The spelling of 2691593091017 in words is "two trillion, six hundred ninety-one billion, five hundred ninety-three million, ninety-one thousand, seventeen".