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14580633313 is a prime number
BaseRepresentation
bin11011001010001001…
…01100111011100001
31101122011000220202001
431211010230323201
5214330120231223
610410453324001
71024215224011
oct154504547341
941564026661
1014580633313
116202429684
1229ab036601
1314b49b669c
149c465bc41
155a50c79ad
hex36512cee1

14580633313 has 2 divisors, whose sum is σ = 14580633314. Its totient is φ = 14580633312.

The previous prime is 14580633281. The next prime is 14580633329. The reversal of 14580633313 is 31333608541.

14580633313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13016984464 + 1563648849 = 114092^2 + 39543^2 .

It is a cyclic number.

It is not a de Polignac number, because 14580633313 - 25 = 14580633281 is a prime.

It is not a weakly prime, because it can be changed into another prime (14580633373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7290316656 + 7290316657.

It is an arithmetic number, because the mean of its divisors is an integer number (7290316657).

Almost surely, 214580633313 is an apocalyptic number.

It is an amenable number.

14580633313 is a deficient number, since it is larger than the sum of its proper divisors (1).

14580633313 is an equidigital number, since it uses as much as digits as its factorization.

14580633313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 14580633313 in words is "fourteen billion, five hundred eighty million, six hundred thirty-three thousand, three hundred thirteen".