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34859109361 is a prime number
BaseRepresentation
bin100000011101110000…
…111100101111110001
310022222101120020022111
4200131300330233301
51032342412444421
624003011405321
72342561353306
oct403560745761
9108871506274
1034859109361
111386907089a
12690a2b3841
133396c9413b
1419899130ad
15d904eeee1
hex81dc3cbf1

34859109361 has 2 divisors, whose sum is σ = 34859109362. Its totient is φ = 34859109360.

The previous prime is 34859109359. The next prime is 34859109401. The reversal of 34859109361 is 16390195843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17964308961 + 16894800400 = 134031^2 + 129980^2 .

It is a cyclic number.

It is not a de Polignac number, because 34859109361 - 21 = 34859109359 is a prime.

Together with 34859109359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34859100361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17429554680 + 17429554681.

It is an arithmetic number, because the mean of its divisors is an integer number (17429554681).

Almost surely, 234859109361 is an apocalyptic number.

It is an amenable number.

34859109361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34859109361 is an equidigital number, since it uses as much as digits as its factorization.

34859109361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 699840, while the sum is 49.

The spelling of 34859109361 in words is "thirty-four billion, eight hundred fifty-nine million, one hundred nine thousand, three hundred sixty-one".