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6274540289 is a prime number
BaseRepresentation
bin1011101011111110…
…11110001100000001
3121012021122200011002
411311333132030001
5100322240242124
62514341101345
7311326466243
oct56577361401
917167580132
106274540289
11272a8a5a96
1212713b7855
1378cc21344
14437476093
1526acb80ae
hex175fde301

6274540289 has 2 divisors, whose sum is σ = 6274540290. Its totient is φ = 6274540288.

The previous prime is 6274540249. The next prime is 6274540291. The reversal of 6274540289 is 9820454726.

6274540289 is digitally balanced in base 3, 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., 5352385600 + 922154689 = 73160^2 + 30367^2 .

It is a cyclic number.

It is not a de Polignac number, because 6274540289 - 216 = 6274474753 is a prime.

Together with 6274540291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6274540229) 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, 3137270144 + 3137270145.

It is an arithmetic number, because the mean of its divisors is an integer number (3137270145).

Almost surely, 26274540289 is an apocalyptic number.

It is an amenable number.

6274540289 is a deficient number, since it is larger than the sum of its proper divisors (1).

6274540289 is an equidigital number, since it uses as much as digits as its factorization.

6274540289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 6274540289 is about 79211.9958655253. The cubic root of 6274540289 is about 1844.4234594206.

The spelling of 6274540289 in words is "six billion, two hundred seventy-four million, five hundred forty thousand, two hundred eighty-nine".