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34564426081 is a prime number
BaseRepresentation
bin100000001100001100…
…110100100101100001
310022012212001202211221
4200030030310211201
51031241443113311
623513443335041
72332352526343
oct401414644541
9108185052757
1034564426081
1113727798999
126847681481
13334ac08333
14195c725293
15d746e1671
hex80c334961

34564426081 has 2 divisors, whose sum is σ = 34564426082. Its totient is φ = 34564426080.

The previous prime is 34564426079. The next prime is 34564426133. The reversal of 34564426081 is 18062446543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34545798225 + 18627856 = 185865^2 + 4316^2 .

It is a cyclic number.

It is not a de Polignac number, because 34564426081 - 21 = 34564426079 is a prime.

It is a super-2 number, since 2×345644260812 (a number of 22 digits) contains 22 as substring.

Together with 34564426079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34564426051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17282213040 + 17282213041.

It is an arithmetic number, because the mean of its divisors is an integer number (17282213041).

Almost surely, 234564426081 is an apocalyptic number.

It is an amenable number.

34564426081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34564426081 is an equidigital number, since it uses as much as digits as its factorization.

34564426081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 34564426081 in words is "thirty-four billion, five hundred sixty-four million, four hundred twenty-six thousand, eighty-one".