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13829734381 is a prime number
BaseRepresentation
bin11001110000101000…
…01111111111101101
31022200211002022001111
430320110033333231
5211310403000011
610204151112021
7666466542211
oct147024177755
938624068044
1013829734381
115957585151
12281b672611
1313c52659a8
14952a34941
1555e1ee121
hex33850ffed

13829734381 has 2 divisors, whose sum is σ = 13829734382. Its totient is φ = 13829734380.

The previous prime is 13829734333. The next prime is 13829734409. The reversal of 13829734381 is 18343792831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13538486025 + 291248356 = 116355^2 + 17066^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829734381 - 211 = 13829732333 is a prime.

It is a super-2 number, since 2×138297343812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13829734981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914867190 + 6914867191.

It is an arithmetic number, because the mean of its divisors is an integer number (6914867191).

Almost surely, 213829734381 is an apocalyptic number.

It is an amenable number.

13829734381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829734381 is an equidigital number, since it uses as much as digits as its factorization.

13829734381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The spelling of 13829734381 in words is "thirteen billion, eight hundred twenty-nine million, seven hundred thirty-four thousand, three hundred eighty-one".