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27013382593 is a prime number
BaseRepresentation
bin11001001010000111…
…111000000111000001
32120201121110000111121
4121022013320013001
5420310411220333
620224302312241
71644262651321
oct311207700701
976647400447
1027013382593
111050239418a
12529a888681
1327166b7c72
141443927281
15a8182a32d
hex64a1f81c1

27013382593 has 2 divisors, whose sum is σ = 27013382594. Its totient is φ = 27013382592.

The previous prime is 27013382581. The next prime is 27013382621. The reversal of 27013382593 is 39528331072.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15813817009 + 11199565584 = 125753^2 + 105828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27013382593 is a prime.

It is not a weakly prime, because it can be changed into another prime (27013382573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13506691296 + 13506691297.

It is an arithmetic number, because the mean of its divisors is an integer number (13506691297).

Almost surely, 227013382593 is an apocalyptic number.

It is an amenable number.

27013382593 is a deficient number, since it is larger than the sum of its proper divisors (1).

27013382593 is an equidigital number, since it uses as much as digits as its factorization.

27013382593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 27013382593 in words is "twenty-seven billion, thirteen million, three hundred eighty-two thousand, five hundred ninety-three".