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34478241829 is a prime number
BaseRepresentation
bin100000000111000100…
…000011100000100101
310021222211220011021121
4200013010003200211
51031102412214304
623501124213541
72330255135323
oct400704034045
9107884804247
1034478241829
1113693083439
12682283a2b1
1333360c1135
1419510ccd13
15d6bd6a554
hex807103825

34478241829 has 2 divisors, whose sum is σ = 34478241830. Its totient is φ = 34478241828.

The previous prime is 34478241817. The next prime is 34478241857. The reversal of 34478241829 is 92814287443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34471492225 + 6749604 = 185665^2 + 2598^2 .

It is a cyclic number.

It is not a de Polignac number, because 34478241829 - 213 = 34478233637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34478241899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17239120914 + 17239120915.

It is an arithmetic number, because the mean of its divisors is an integer number (17239120915).

Almost surely, 234478241829 is an apocalyptic number.

It is an amenable number.

34478241829 is a deficient number, since it is larger than the sum of its proper divisors (1).

34478241829 is an equidigital number, since it uses as much as digits as its factorization.

34478241829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3096576, while the sum is 52.

The spelling of 34478241829 in words is "thirty-four billion, four hundred seventy-eight million, two hundred forty-one thousand, eight hundred twenty-nine".