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42052345217 is a prime number
BaseRepresentation
bin100111001010100000…
…111101110110000001
311000112200220110212022
4213022200331312001
51142110400021332
631152451411225
73016045015361
oct471240756601
9130480813768
1042052345217
111691a4a8413
1281972b3b15
133c7232660c
14206cdb09a1
151161c89212
hex9ca83dd81

42052345217 has 2 divisors, whose sum is σ = 42052345218. Its totient is φ = 42052345216.

The previous prime is 42052345199. The next prime is 42052345241. The reversal of 42052345217 is 71254325024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28601912641 + 13450432576 = 169121^2 + 115976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42052345217 is a prime.

It is not a weakly prime, because it can be changed into another prime (42052345417) 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, 21026172608 + 21026172609.

It is an arithmetic number, because the mean of its divisors is an integer number (21026172609).

Almost surely, 242052345217 is an apocalyptic number.

It is an amenable number.

42052345217 is a deficient number, since it is larger than the sum of its proper divisors (1).

42052345217 is an equidigital number, since it uses as much as digits as its factorization.

42052345217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 42052345217 in words is "forty-two billion, fifty-two million, three hundred forty-five thousand, two hundred seventeen".