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5678770022289 = 3274132292432
BaseRepresentation
bin101001010100011000100…
…0100011110011110010001
3202002212220020122220200100
41102220301010132132101
51221020110111203124
620024442501443013
71124164133520000
oct122506104363621
922085806586610
105678770022289
11189a3976a5731
12778700710469
13322676097300
14158bd52b0c37
159cab7aa01c9
hex52a3111e791

5678770022289 has 405 divisors, whose sum is σ = 10986929045937. Its totient is φ = 2824847415936.

The previous prime is 5678770022287. The next prime is 5678770022323. The reversal of 5678770022289 is 9822200778765.

The square root of 5678770022289 is 2383017.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 728180622225 + 4950589400064 = 853335^2 + 2224992^2 .

It is not a de Polignac number, because 5678770022289 - 21 = 5678770022287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5678770022287) 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 in 404 ways as a sum of consecutive naturals, for example, 132064419102 + ... + 132064419144.

Almost surely, 25678770022289 is an apocalyptic number.

5678770022289 is the 2383017-th square number.

5678770022289 is the 1191509-th centered octagonal number.

It is an amenable number.

5678770022289 is a deficient number, since it is larger than the sum of its proper divisors (5308159023648).

5678770022289 is an equidigital number, since it uses as much as digits as its factorization.

5678770022289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 5678770022289 in words is "five trillion, six hundred seventy-eight billion, seven hundred seventy million, twenty-two thousand, two hundred eighty-nine".