Search a number
-
+
2167815491089 is a prime number
BaseRepresentation
bin11111100010111011110…
…111110100111000010001
321200020111210022002012221
4133202323313310320101
5241004141231203324
64335514121221041
7312422326433413
oct37427367647021
97606453262187
102167815491089
1176640236a096
122b0179031781
13129568a51b21
1476ccc35c9b3
153b5cab6b0e4
hex1f8bbdf4e11

2167815491089 has 2 divisors, whose sum is σ = 2167815491090. Its totient is φ = 2167815491088.

The previous prime is 2167815491053. The next prime is 2167815491111. The reversal of 2167815491089 is 9801945187612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1739193876225 + 428621614864 = 1318785^2 + 654692^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167815491089 - 217 = 2167815360017 is a prime.

It is a super-3 number, since 3×21678154910893 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2167815411089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083907745544 + 1083907745545.

It is an arithmetic number, because the mean of its divisors is an integer number (1083907745545).

Almost surely, 22167815491089 is an apocalyptic number.

It is an amenable number.

2167815491089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167815491089 is an equidigital number, since it uses as much as digits as its factorization.

2167815491089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 61.

The spelling of 2167815491089 in words is "two trillion, one hundred sixty-seven billion, eight hundred fifteen million, four hundred ninety-one thousand, eighty-nine".