Search a number
-
+
216654309819169 is a prime number
BaseRepresentation
bin110001010000101111000011…
…001011010000001100100001
31001102002221122100202120212021
4301100233003023100030201
5211344131011303203134
62044441341011501441
763430520524124455
oct6120570313201441
91042087570676767
10216654309819169
116303a6387aa292
1220371081bb7881
1393b754c021061
143b701a5a78665
151a0aa20c010b4
hexc50bc32d0321

216654309819169 has 2 divisors, whose sum is σ = 216654309819170. Its totient is φ = 216654309819168.

The previous prime is 216654309819107. The next prime is 216654309819173. The reversal of 216654309819169 is 961918903456612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176276418809569 + 40377891009600 = 13276913^2 + 6354360^2 .

It is a cyclic number.

It is not a de Polignac number, because 216654309819169 - 215 = 216654309786401 is a prime.

It is a super-2 number, since 2×2166543098191692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216654309819098 and 216654309819107.

It is not a weakly prime, because it can be changed into another prime (216654309819179) 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, 108327154909584 + 108327154909585.

It is an arithmetic number, because the mean of its divisors is an integer number (108327154909585).

Almost surely, 2216654309819169 is an apocalyptic number.

It is an amenable number.

216654309819169 is a deficient number, since it is larger than the sum of its proper divisors (1).

216654309819169 is an equidigital number, since it uses as much as digits as its factorization.

216654309819169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151165440, while the sum is 70.

The spelling of 216654309819169 in words is "two hundred sixteen trillion, six hundred fifty-four billion, three hundred nine million, eight hundred nineteen thousand, one hundred sixty-nine".