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2728590517 is a prime number
BaseRepresentation
bin1010001010100010…
…1111110010110101
321001011022202112001
42202220233302311
521042004344032
61130431055301
7124421431252
oct24250576265
97034282461
102728590517
111180244494
12641971531
133463b7003
141bc556429
1510e8313e7
hexa2a2fcb5

2728590517 has 2 divisors, whose sum is σ = 2728590518. Its totient is φ = 2728590516.

The previous prime is 2728590509. The next prime is 2728590521. The reversal of 2728590517 is 7150958272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2688318801 + 40271716 = 51849^2 + 6346^2 .

It is a cyclic number.

It is not a de Polignac number, because 2728590517 - 23 = 2728590509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2728590577) 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, 1364295258 + 1364295259.

It is an arithmetic number, because the mean of its divisors is an integer number (1364295259).

Almost surely, 22728590517 is an apocalyptic number.

It is an amenable number.

2728590517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728590517 is an equidigital number, since it uses as much as digits as its factorization.

2728590517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 46.

The square root of 2728590517 is about 52235.9121390639. The cubic root of 2728590517 is about 1397.3744186488.

The spelling of 2728590517 in words is "two billion, seven hundred twenty-eight million, five hundred ninety thousand, five hundred seventeen".