Search a number
-
+
2137759489 is a prime number
BaseRepresentation
bin111111101101011…
…1001111100000001
312111222120102201101
41333122321330001
513334231300424
6552043334401
7103655440645
oct17732717401
95458512641
102137759489
119a7789388
124b7b21401
13280b7b958
14163cb8c25
15c7a25344
hex7f6b9f01

2137759489 has 2 divisors, whose sum is σ = 2137759490. Its totient is φ = 2137759488.

The previous prime is 2137759453. The next prime is 2137759511. The reversal of 2137759489 is 9849577312.

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., 1231448464 + 906311025 = 35092^2 + 30105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2137759489 is a prime.

It is a super-2 number, since 2×21377594892 = 9140031265619082242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2137759189) 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, 1068879744 + 1068879745.

It is an arithmetic number, because the mean of its divisors is an integer number (1068879745).

Almost surely, 22137759489 is an apocalyptic number.

It is an amenable number.

2137759489 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137759489 is an equidigital number, since it uses as much as digits as its factorization.

2137759489 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3810240, while the sum is 55.

The square root of 2137759489 is about 46235.9112487253. The cubic root of 2137759489 is about 1288.2088574494.

The spelling of 2137759489 in words is "two billion, one hundred thirty-seven million, seven hundred fifty-nine thousand, four hundred eighty-nine".