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34135267729 is a prime number
BaseRepresentation
bin11111110010100111…
…101101100110010001
310021002221112021021011
4133302213231212101
51024402112031404
623403113130521
72315621662663
oct376247554621
9107087467234
1034135267729
1113527517972
1267479b9a41
1332b0027b94
14191b730533
15d4bbbd604
hex7f29ed991

34135267729 has 2 divisors, whose sum is σ = 34135267730. Its totient is φ = 34135267728.

The previous prime is 34135267723. The next prime is 34135267757. The reversal of 34135267729 is 92776253143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29480890000 + 4654377729 = 171700^2 + 68223^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135267729 - 23 = 34135267721 is a prime.

It is not a weakly prime, because it can be changed into another prime (34135267721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067633864 + 17067633865.

It is an arithmetic number, because the mean of its divisors is an integer number (17067633865).

Almost surely, 234135267729 is an apocalyptic number.

It is an amenable number.

34135267729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135267729 is an equidigital number, since it uses as much as digits as its factorization.

34135267729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1905120, while the sum is 49.

The spelling of 34135267729 in words is "thirty-four billion, one hundred thirty-five million, two hundred sixty-seven thousand, seven hundred twenty-nine".