Search a number
-
+
2972367689 is a prime number
BaseRepresentation
bin1011000100101010…
…1011101101001001
321200011000220221012
42301022223231021
522041411231224
61210540053305
7133441465004
oct26112535511
97604026835
102972367689
111295907925
126ab534235
13384a5b165
14202a9253b
15125e3680e
hexb12abb49

2972367689 has 2 divisors, whose sum is σ = 2972367690. Its totient is φ = 2972367688.

The previous prime is 2972367661. The next prime is 2972367721. The reversal of 2972367689 is 9867632792.

2972367689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2860431289 + 111936400 = 53483^2 + 10580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2972367689 is a prime.

It is a super-2 number, since 2×29723676892 = 17669939357222401442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2972367289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486183844 + 1486183845.

It is an arithmetic number, because the mean of its divisors is an integer number (1486183845).

Almost surely, 22972367689 is an apocalyptic number.

It is an amenable number.

2972367689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972367689 is an equidigital number, since it uses as much as digits as its factorization.

2972367689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13716864, while the sum is 59.

The square root of 2972367689 is about 54519.4248777443. The cubic root of 2972367689 is about 1437.8078284583.

The spelling of 2972367689 in words is "two billion, nine hundred seventy-two million, three hundred sixty-seven thousand, six hundred eighty-nine".