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239841201617 is a prime number
BaseRepresentation
bin1101111101011110100…
…1100100110111010001
3211221001221112102120022
43133113221210313101
512412143321422432
6302103113153225
723220326401523
oct3372751446721
9757057472508
10239841201617
1192797118706
123a5963bb815
1319803511ba4
14b873553a13
15638b03eb12
hex37d7a64dd1

239841201617 has 2 divisors, whose sum is σ = 239841201618. Its totient is φ = 239841201616.

The previous prime is 239841201581. The next prime is 239841201683. The reversal of 239841201617 is 716102148932.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164778353041 + 75062848576 = 405929^2 + 273976^2 .

It is a cyclic number.

It is not a de Polignac number, because 239841201617 - 220 = 239840153041 is a prime.

It is a super-3 number, since 3×2398412016173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (239841201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119920600808 + 119920600809.

It is an arithmetic number, because the mean of its divisors is an integer number (119920600809).

Almost surely, 2239841201617 is an apocalyptic number.

It is an amenable number.

239841201617 is a deficient number, since it is larger than the sum of its proper divisors (1).

239841201617 is an equidigital number, since it uses as much as digits as its factorization.

239841201617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 239841201617 in words is "two hundred thirty-nine billion, eight hundred forty-one million, two hundred one thousand, six hundred seventeen".