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233468678561 is a prime number
BaseRepresentation
bin1101100101101111010…
…0010101000110100001
3211022121211111201022212
43121123310111012201
512311120440203221
6255130512011505
722603400011226
oct3313364250641
9738554451285
10233468678561
1190016a89828
12392b8230b95
13190292052a1
14b42b09394d
15611686eb5b
hex365bd151a1

233468678561 has 2 divisors, whose sum is σ = 233468678562. Its totient is φ = 233468678560.

The previous prime is 233468678491. The next prime is 233468678563. The reversal of 233468678561 is 165876864332.

233468678561 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., 220870860961 + 12597817600 = 469969^2 + 112240^2 .

It is a cyclic number.

It is not a de Polignac number, because 233468678561 - 230 = 232394936737 is a prime.

Together with 233468678563, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233468678561.

It is not a weakly prime, because it can be changed into another prime (233468678563) 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, 116734339280 + 116734339281.

It is an arithmetic number, because the mean of its divisors is an integer number (116734339281).

Almost surely, 2233468678561 is an apocalyptic number.

It is an amenable number.

233468678561 is a deficient number, since it is larger than the sum of its proper divisors (1).

233468678561 is an equidigital number, since it uses as much as digits as its factorization.

233468678561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34836480, while the sum is 59.

The spelling of 233468678561 in words is "two hundred thirty-three billion, four hundred sixty-eight million, six hundred seventy-eight thousand, five hundred sixty-one".