Search a number
-
+
2116588673 is a prime number
BaseRepresentation
bin111111000101000…
…1001010010000001
312110111201211211002
41332022021102001
513313321314143
6550005501345
7103310464313
oct17612112201
95414654732
102116588673
11996839441
124b0a11855
13279678644
141611677b3
15c5c425b8
hex7e289481

2116588673 has 2 divisors, whose sum is σ = 2116588674. Its totient is φ = 2116588672.

The previous prime is 2116588651. The next prime is 2116588687. The reversal of 2116588673 is 3768856112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1729561744 + 387026929 = 41588^2 + 19673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116588673 - 218 = 2116326529 is a prime.

It is a super-2 number, since 2×21165886732 = 8959895221343801858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2116558673) 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, 1058294336 + 1058294337.

It is an arithmetic number, because the mean of its divisors is an integer number (1058294337).

Almost surely, 22116588673 is an apocalyptic number.

It is an amenable number.

2116588673 is a deficient number, since it is larger than the sum of its proper divisors (1).

2116588673 is an equidigital number, since it uses as much as digits as its factorization.

2116588673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483840, while the sum is 47.

The square root of 2116588673 is about 46006.3981746018. The cubic root of 2116588673 is about 1283.9422471298.

The spelling of 2116588673 in words is "two billion, one hundred sixteen million, five hundred eighty-eight thousand, six hundred seventy-three".