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34536825361 is a prime number
BaseRepresentation
bin100000001010100011…
…100010001000010001
310022010221010111210001
4200022203202020101
51031212411402421
623511020010001
72331566112643
oct401243421021
9108127114701
1034536825361
1113713157085
12683a390901
13334529344c
141958bbc893
15d7208d691
hex80a8e2211

34536825361 has 2 divisors, whose sum is σ = 34536825362. Its totient is φ = 34536825360.

The previous prime is 34536825353. The next prime is 34536825373. The reversal of 34536825361 is 16352863543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29017078336 + 5519747025 = 170344^2 + 74295^2 .

It is a cyclic number.

It is not a de Polignac number, because 34536825361 - 23 = 34536825353 is a prime.

It is not a weakly prime, because it can be changed into another prime (34536820361) 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, 17268412680 + 17268412681.

It is an arithmetic number, because the mean of its divisors is an integer number (17268412681).

Almost surely, 234536825361 is an apocalyptic number.

It is an amenable number.

34536825361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34536825361 is an equidigital number, since it uses as much as digits as its factorization.

34536825361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555200, while the sum is 46.

The spelling of 34536825361 in words is "thirty-four billion, five hundred thirty-six million, eight hundred twenty-five thousand, three hundred sixty-one".