Search a number
-
+
21828649489 is a prime number
BaseRepresentation
bin10100010101000101…
…101100001000010001
32002100021110021202121
4110111011230020101
5324201113240424
614010011414241
71401635313343
oct242505541021
962307407677
1021828649489
119291781499
124292454381
13209b4b905a
1410b10d9293
1587b582ee4
hex51516c211

21828649489 has 2 divisors, whose sum is σ = 21828649490. Its totient is φ = 21828649488.

The previous prime is 21828649487. The next prime is 21828649511. The reversal of 21828649489 is 98494682812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21736489489 + 92160000 = 147433^2 + 9600^2 .

It is a cyclic number.

It is not a de Polignac number, because 21828649489 - 21 = 21828649487 is a prime.

It is a super-2 number, since 2×218286494892 (a number of 21 digits) contains 22 as substring.

Together with 21828649487, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21828649487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10914324744 + 10914324745.

It is an arithmetic number, because the mean of its divisors is an integer number (10914324745).

Almost surely, 221828649489 is an apocalyptic number.

It is an amenable number.

21828649489 is a deficient number, since it is larger than the sum of its proper divisors (1).

21828649489 is an equidigital number, since it uses as much as digits as its factorization.

21828649489 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15925248, while the sum is 61.

The spelling of 21828649489 in words is "twenty-one billion, eight hundred twenty-eight million, six hundred forty-nine thousand, four hundred eighty-nine".