Search a number
-
+
11653144340393 is a prime number
BaseRepresentation
bin1010100110010011010110…
…0001110110011110101001
31112021000210122221221120002
42221210311201312132221
53011411114422343033
640441214113312345
72311624531365263
oct251446541663651
945230718857502
1011653144340393
113793086201a86
12138255a5656b5
13666b6b3a260a
142c402d9a6b33
151531d1e733e8
hexa99358767a9

11653144340393 has 2 divisors, whose sum is σ = 11653144340394. Its totient is φ = 11653144340392.

The previous prime is 11653144340339. The next prime is 11653144340459. The reversal of 11653144340393 is 39304344135611.

Together with previous prime (11653144340339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11633911365904 + 19232974489 = 3410852^2 + 138683^2 .

It is a cyclic number.

It is not a de Polignac number, because 11653144340393 - 26 = 11653144340329 is a prime.

It is not a weakly prime, because it can be changed into another prime (11653144340303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5826572170196 + 5826572170197.

It is an arithmetic number, because the mean of its divisors is an integer number (5826572170197).

Almost surely, 211653144340393 is an apocalyptic number.

It is an amenable number.

11653144340393 is a deficient number, since it is larger than the sum of its proper divisors (1).

11653144340393 is an equidigital number, since it uses as much as digits as its factorization.

11653144340393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 11653144340393 in words is "eleven trillion, six hundred fifty-three billion, one hundred forty-four million, three hundred forty thousand, three hundred ninety-three".