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21743247574441 is a prime number
BaseRepresentation
bin1001111000110011111101…
…00011000100010110101001
32211222122010022022202000001
410330121332203010112221
510322220132334340231
6114124413211343001
74402616641641211
oct474317643042651
984878108282001
1021743247574441
116a23294457388
122531ba1751a61
13c194c1856933
145525435c7241
1527a8d2335b61
hex13c67e8c45a9

21743247574441 has 2 divisors, whose sum is σ = 21743247574442. Its totient is φ = 21743247574440.

The previous prime is 21743247574357. The next prime is 21743247574459. The reversal of 21743247574441 is 14447574234712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16553831449600 + 5189416124841 = 4068640^2 + 2278029^2 .

It is a cyclic number.

It is not a de Polignac number, because 21743247574441 - 211 = 21743247572393 is a prime.

It is not a weakly prime, because it can be changed into another prime (21743247574471) 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, 10871623787220 + 10871623787221.

It is an arithmetic number, because the mean of its divisors is an integer number (10871623787221).

Almost surely, 221743247574441 is an apocalyptic number.

It is an amenable number.

21743247574441 is a deficient number, since it is larger than the sum of its proper divisors (1).

21743247574441 is an equidigital number, since it uses as much as digits as its factorization.

21743247574441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21073920, while the sum is 55.

The spelling of 21743247574441 in words is "twenty-one trillion, seven hundred forty-three billion, two hundred forty-seven million, five hundred seventy-four thousand, four hundred forty-one".