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10662144209 is a prime number
BaseRepresentation
bin10011110111000001…
…10110100011010001
31000112001201001012222
421323200312203101
5133314002103314
64521554430425
7525134505353
oct117340664321
930461631188
1010662144209
114581558832
122096892415
13100bc33c92
147320850d3
154260a3c8e
hex27b8368d1

10662144209 has 2 divisors, whose sum is σ = 10662144210. Its totient is φ = 10662144208.

The previous prime is 10662144193. The next prime is 10662144211. The reversal of 10662144209 is 90244126601.

10662144209 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., 10314433600 + 347710609 = 101560^2 + 18647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10662144209 - 24 = 10662144193 is a prime.

It is a super-2 number, since 2×106621442092 (a number of 21 digits) contains 22 as substring.

Together with 10662144211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10662144289) 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, 5331072104 + 5331072105.

It is an arithmetic number, because the mean of its divisors is an integer number (5331072105).

Almost surely, 210662144209 is an apocalyptic number.

It is an amenable number.

10662144209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10662144209 is an equidigital number, since it uses as much as digits as its factorization.

10662144209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10662144209 in words is "ten billion, six hundred sixty-two million, one hundred forty-four thousand, two hundred nine".