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348768322561 is a prime number
BaseRepresentation
bin1010001001101000011…
…01100100010000000001
31020100020021010111120001
411010310031210100001
521203234142310221
6424115535320001
734124542553641
oct5046415442001
91210207114501
10348768322561
11124a0369790a
1257715980001
1326b726657c9
1412c48058521
159113d5c391
hex5134364401

348768322561 has 2 divisors, whose sum is σ = 348768322562. Its totient is φ = 348768322560.

The previous prime is 348768322541. The next prime is 348768322619. The reversal of 348768322561 is 165223867843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 338561059600 + 10207262961 = 581860^2 + 101031^2 .

It is a cyclic number.

It is not a de Polignac number, because 348768322561 - 213 = 348768314369 is a prime.

It is not a weakly prime, because it can be changed into another prime (348768322501) 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, 174384161280 + 174384161281.

It is an arithmetic number, because the mean of its divisors is an integer number (174384161281).

Almost surely, 2348768322561 is an apocalyptic number.

It is an amenable number.

348768322561 is a deficient number, since it is larger than the sum of its proper divisors (1).

348768322561 is an equidigital number, since it uses as much as digits as its factorization.

348768322561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11612160, while the sum is 55.

The spelling of 348768322561 in words is "three hundred forty-eight billion, seven hundred sixty-eight million, three hundred twenty-two thousand, five hundred sixty-one".