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5009144433329 is a prime number
BaseRepresentation
bin100100011100100100001…
…0001100100101010110001
3122201212110212222110201002
41020321020101210222301
51124032211433331304
614353100313251345
71024620161106461
oct110711021445261
918655425873632
105009144433329
111661403498683
1268a980403b55
132a448b74476a
14134630037ba1
158a47542d31e
hex48e48464ab1

5009144433329 has 2 divisors, whose sum is σ = 5009144433330. Its totient is φ = 5009144433328.

The previous prime is 5009144433239. The next prime is 5009144433373. The reversal of 5009144433329 is 9233344419005.

Together with previous prime (5009144433239) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2757725209600 + 2251419223729 = 1660640^2 + 1500473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5009144433329 is a prime.

It is not a weakly prime, because it can be changed into another prime (5009144433389) 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, 2504572216664 + 2504572216665.

It is an arithmetic number, because the mean of its divisors is an integer number (2504572216665).

Almost surely, 25009144433329 is an apocalyptic number.

It is an amenable number.

5009144433329 is a deficient number, since it is larger than the sum of its proper divisors (1).

5009144433329 is an equidigital number, since it uses as much as digits as its factorization.

5009144433329 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 5009144433329 in words is "five trillion, nine billion, one hundred forty-four million, four hundred thirty-three thousand, three hundred twenty-nine".