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829430952313 is a prime number
BaseRepresentation
bin11000001000111011110…
…11111111000101111001
32221021220110200000200111
430010131323333011321
5102042133310433223
61433011343504321
7113632033524505
oct14043573770571
92837813600614
10829430952313
1129a83a170887
121148ba8b80a1
13602a4492462
142c204da3305
1516896eb430d
hexc11deff179

829430952313 has 2 divisors, whose sum is σ = 829430952314. Its totient is φ = 829430952312.

The previous prime is 829430952283. The next prime is 829430952349. The reversal of 829430952313 is 313259034928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817583065209 + 11847887104 = 904203^2 + 108848^2 .

It is a cyclic number.

It is not a de Polignac number, because 829430952313 - 25 = 829430952281 is a prime.

It is not a weakly prime, because it can be changed into another prime (829430952373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414715476156 + 414715476157.

It is an arithmetic number, because the mean of its divisors is an integer number (414715476157).

Almost surely, 2829430952313 is an apocalyptic number.

It is an amenable number.

829430952313 is a deficient number, since it is larger than the sum of its proper divisors (1).

829430952313 is an equidigital number, since it uses as much as digits as its factorization.

829430952313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 829430952313 in words is "eight hundred twenty-nine billion, four hundred thirty million, nine hundred fifty-two thousand, three hundred thirteen".