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27526930601 is a prime number
BaseRepresentation
bin11001101000101110…
…111010000010101001
32122001101202221221012
4121220232322002221
5422333343234401
620351245353305
71663100022662
oct315056720251
978041687835
1027526930601
1110746264425
125402868835
132798c04821
141491c08369
15ab196c8bb
hex668bba0a9

27526930601 has 2 divisors, whose sum is σ = 27526930602. Its totient is φ = 27526930600.

The previous prime is 27526930517. The next prime is 27526930603. The reversal of 27526930601 is 10603962572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26855343376 + 671587225 = 163876^2 + 25915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27526930601 is a prime.

Together with 27526930603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27526930603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13763465300 + 13763465301.

It is an arithmetic number, because the mean of its divisors is an integer number (13763465301).

Almost surely, 227526930601 is an apocalyptic number.

It is an amenable number.

27526930601 is a deficient number, since it is larger than the sum of its proper divisors (1).

27526930601 is an equidigital number, since it uses as much as digits as its factorization.

27526930601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 27526930601 in words is "twenty-seven billion, five hundred twenty-six million, nine hundred thirty thousand, six hundred one".