Search a number
-
+
829209282191 is a prime number
BaseRepresentation
bin11000001000100001011…
…10011000011010001111
32221021100000120000102222
430010100232120122033
5102041210034012231
61432533344405555
7113623402414103
oct14042056303217
92837300500388
10829209282191
1129a736027834
121148586168bb
136026a58b7c4
142c1c377d903
15168827c927b
hexc110b9868f

829209282191 has 2 divisors, whose sum is σ = 829209282192. Its totient is φ = 829209282190.

The previous prime is 829209282173. The next prime is 829209282221. The reversal of 829209282191 is 191282902928.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-829209282191 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829209282131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414604641095 + 414604641096.

It is an arithmetic number, because the mean of its divisors is an integer number (414604641096).

Almost surely, 2829209282191 is an apocalyptic number.

829209282191 is a deficient number, since it is larger than the sum of its proper divisors (1).

829209282191 is an equidigital number, since it uses as much as digits as its factorization.

829209282191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 53.

The spelling of 829209282191 in words is "eight hundred twenty-nine billion, two hundred nine million, two hundred eighty-two thousand, one hundred ninety-one".