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2289968299249 is a prime number
BaseRepresentation
bin100001010100101100101…
…111110011110011110001
322002220210211100200022221
4201110230233303303301
5300004323341033444
64511555200001041
7324305356244431
oct41245457636361
98086724320287
102289968299249
11803196450904
1230b989900181
13137c34c56677
147cb9957a2c1
153e879b1aa84
hex2152cbf3cf1

2289968299249 has 2 divisors, whose sum is σ = 2289968299250. Its totient is φ = 2289968299248.

The previous prime is 2289968299189. The next prime is 2289968299253. The reversal of 2289968299249 is 9429928699822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2032506435600 + 257461863649 = 1425660^2 + 507407^2 .

It is a cyclic number.

It is not a de Polignac number, because 2289968299249 - 219 = 2289967774961 is a prime.

It is a super-2 number, since 2×22899682992492 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2289968290249) 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, 1144984149624 + 1144984149625.

It is an arithmetic number, because the mean of its divisors is an integer number (1144984149625).

Almost surely, 22289968299249 is an apocalyptic number.

It is an amenable number.

2289968299249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2289968299249 is an equidigital number, since it uses as much as digits as its factorization.

2289968299249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451188224, while the sum is 79.

The spelling of 2289968299249 in words is "two trillion, two hundred eighty-nine billion, nine hundred sixty-eight million, two hundred ninety-nine thousand, two hundred forty-nine".