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34248130561 is a prime number
BaseRepresentation
bin11111111001010110…
…010000000000000001
310021101210220021222001
4133321112100000001
51030120010134221
623422224144001
72321462210101
oct377126200001
9107353807861
1034248130561
11135851a4437
126779768001
1332ca523318
14192c70d201
15d56a64391
hex7f9590001

34248130561 has 2 divisors, whose sum is σ = 34248130562. Its totient is φ = 34248130560.

The previous prime is 34248130547. The next prime is 34248130573. The reversal of 34248130561 is 16503184243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30877166961 + 3370963600 = 175719^2 + 58060^2 .

It is a cyclic number.

It is not a de Polignac number, because 34248130561 - 211 = 34248128513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34248130561.

It is not a weakly prime, because it can be changed into another prime (34248130531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17124065280 + 17124065281.

It is an arithmetic number, because the mean of its divisors is an integer number (17124065281).

Almost surely, 234248130561 is an apocalyptic number.

It is an amenable number.

34248130561 is a deficient number, since it is larger than the sum of its proper divisors (1).

34248130561 is an equidigital number, since it uses as much as digits as its factorization.

34248130561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 34248130561 in words is "thirty-four billion, two hundred forty-eight million, one hundred thirty thousand, five hundred sixty-one".