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12736164593 is a prime number
BaseRepresentation
bin10111101110010001…
…00111001011110001
31012212121100012022202
423313020213023301
5202040424231333
65503444112545
7630420420125
oct136710471361
935777305282
1012736164593
115446261a69
122575395755
13127c826a89
1488b6cb585
154e81d85e8
hex2f72272f1

12736164593 has 2 divisors, whose sum is σ = 12736164594. Its totient is φ = 12736164592.

The previous prime is 12736164557. The next prime is 12736164613. The reversal of 12736164593 is 39546163721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11879256064 + 856908529 = 108992^2 + 29273^2 .

It is an emirp because it is prime and its reverse (39546163721) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12736164593 is a prime.

It is not a weakly prime, because it can be changed into another prime (12736166593) 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, 6368082296 + 6368082297.

It is an arithmetic number, because the mean of its divisors is an integer number (6368082297).

Almost surely, 212736164593 is an apocalyptic number.

It is an amenable number.

12736164593 is a deficient number, since it is larger than the sum of its proper divisors (1).

12736164593 is an equidigital number, since it uses as much as digits as its factorization.

12736164593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 47.

The spelling of 12736164593 in words is "twelve billion, seven hundred thirty-six million, one hundred sixty-four thousand, five hundred ninety-three".