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13829289589 is a prime number
BaseRepresentation
bin11001110000100101…
…00011011001110101
31022200210020200220201
430320102203121311
5211310244231324
610204133400501
7666463010353
oct147022433165
938623220821
1013829289589
115957300a55
12281b499131
1313c513b3bb
1495295a7d3
1555e162444
hex3384a3675

13829289589 has 2 divisors, whose sum is σ = 13829289590. Its totient is φ = 13829289588.

The previous prime is 13829289583. The next prime is 13829289611. The reversal of 13829289589 is 98598292831.

It is a happy number.

13829289589 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., 13786282225 + 43007364 = 117415^2 + 6558^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829289589 - 215 = 13829256821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13829289589.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13829289583) 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, 6914644794 + 6914644795.

It is an arithmetic number, because the mean of its divisors is an integer number (6914644795).

Almost surely, 213829289589 is an apocalyptic number.

It is an amenable number.

13829289589 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829289589 is an equidigital number, since it uses as much as digits as its factorization.

13829289589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22394880, while the sum is 64.

The spelling of 13829289589 in words is "thirteen billion, eight hundred twenty-nine million, two hundred eighty-nine thousand, five hundred eighty-nine".