Search a number
-
+
8209827149 is a prime number
BaseRepresentation
bin1111010010101100…
…00000010101001101
3210012011020102122012
413221112000111031
5113303203432044
63434353031005
7410306244056
oct75126002515
923164212565
108209827149
113533262717
121711555465
13a0ab5b3b4
1457c4c772d
15330b4659e
hex1e958054d

8209827149 has 2 divisors, whose sum is σ = 8209827150. Its totient is φ = 8209827148.

The previous prime is 8209827107. The next prime is 8209827163. The reversal of 8209827149 is 9417289028.

8209827149 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., 8071764649 + 138062500 = 89843^2 + 11750^2 .

It is a cyclic number.

It is not a de Polignac number, because 8209827149 - 224 = 8193049933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8209827097 and 8209827106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8209827179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4104913574 + 4104913575.

It is an arithmetic number, because the mean of its divisors is an integer number (4104913575).

Almost surely, 28209827149 is an apocalyptic number.

It is an amenable number.

8209827149 is a deficient number, since it is larger than the sum of its proper divisors (1).

8209827149 is an equidigital number, since it uses as much as digits as its factorization.

8209827149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 8209827149 is about 90608.0964870138. The cubic root of 8209827149 is about 2017.3349120679.

The spelling of 8209827149 in words is "eight billion, two hundred nine million, eight hundred twenty-seven thousand, one hundred forty-nine".