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234334217617 is a prime number
BaseRepresentation
bin1101101000111101101…
…0000110010110010001
3211101212011011122200221
43122033122012112101
512314404024430432
6255352431313041
722634006661553
oct3321732062621
9741764148627
10234334217617
1190420614065
12394ba07b781
1319136624386
14b4adddd4d3
156167840b97
hex368f686591

234334217617 has 2 divisors, whose sum is σ = 234334217618. Its totient is φ = 234334217616.

The previous prime is 234334217567. The next prime is 234334217633. The reversal of 234334217617 is 716712433432.

It is a happy number.

234334217617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156755813776 + 77578403841 = 395924^2 + 278529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234334217617 is a prime.

It is not a weakly prime, because it can be changed into another prime (234334217647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 117167108808 + 117167108809.

It is an arithmetic number, because the mean of its divisors is an integer number (117167108809).

Almost surely, 2234334217617 is an apocalyptic number.

It is an amenable number.

234334217617 is a deficient number, since it is larger than the sum of its proper divisors (1).

234334217617 is an equidigital number, since it uses as much as digits as its factorization.

234334217617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 43.

The spelling of 234334217617 in words is "two hundred thirty-four billion, three hundred thirty-four million, two hundred seventeen thousand, six hundred seventeen".