Search a number
-
+
209361836393 is a prime number
BaseRepresentation
bin1100001011111011110…
…0000001100101101001
3202000101210020020201122
43002332330001211221
511412233112231033
6240102434425025
721061116150443
oct3027674014551
9660353206648
10209361836393
1180876331476
12346aaa32175
1316986a3b038
14a1c15a5493
1556a52c6a98
hex30bef01969

209361836393 has 2 divisors, whose sum is σ = 209361836394. Its totient is φ = 209361836392.

The previous prime is 209361836371. The next prime is 209361836441. The reversal of 209361836393 is 393638163902.

209361836393 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., 160490775769 + 48871060624 = 400613^2 + 221068^2 .

It is a cyclic number.

It is not a de Polignac number, because 209361836393 - 216 = 209361770857 is a prime.

It is not a weakly prime, because it can be changed into another prime (209361836093) 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, 104680918196 + 104680918197.

It is an arithmetic number, because the mean of its divisors is an integer number (104680918197).

Almost surely, 2209361836393 is an apocalyptic number.

It is an amenable number.

209361836393 is a deficient number, since it is larger than the sum of its proper divisors (1).

209361836393 is an equidigital number, since it uses as much as digits as its factorization.

209361836393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3779136, while the sum is 53.

The spelling of 209361836393 in words is "two hundred nine billion, three hundred sixty-one million, eight hundred thirty-six thousand, three hundred ninety-three".