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13829734333 is a prime number
BaseRepresentation
bin11001110000101000…
…01111111110111101
31022200211002021222201
430320110033332331
5211310402444313
610204151111501
7666466542112
oct147024177675
938624067881
1013829734333
115957585108
12281b672591
1313c526596c
14952a34909
1555e1ee0dd
hex33850ffbd

13829734333 has 2 divisors, whose sum is σ = 13829734334. Its totient is φ = 13829734332.

The previous prime is 13829734319. The next prime is 13829734381. The reversal of 13829734333 is 33343792831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7575613444 + 6254120889 = 87038^2 + 79083^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829734333 - 217 = 13829603261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13829732333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914867166 + 6914867167.

It is an arithmetic number, because the mean of its divisors is an integer number (6914867167).

Almost surely, 213829734333 is an apocalyptic number.

It is an amenable number.

13829734333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829734333 is an equidigital number, since it uses as much as digits as its factorization.

13829734333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 979776, while the sum is 46.

The spelling of 13829734333 in words is "thirteen billion, eight hundred twenty-nine million, seven hundred thirty-four thousand, three hundred thirty-three".