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22540678289 is a prime number
BaseRepresentation
bin10100111111100001…
…110111010010010001
32011011220021002122122
4110333201313102101
5332130403201124
614204404544025
71425402414143
oct247741672221
964156232578
1022540678289
119617697248
1244509b2015
132182b7a57c
14113b8c4c93
158bdd2e75e
hex53f877491

22540678289 has 2 divisors, whose sum is σ = 22540678290. Its totient is φ = 22540678288.

The previous prime is 22540678229. The next prime is 22540678309. The reversal of 22540678289 is 98287604522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21779856400 + 760821889 = 147580^2 + 27583^2 .

It is a cyclic number.

It is not a de Polignac number, because 22540678289 - 28 = 22540678033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22540678289.

It is not a weakly prime, because it can be changed into another prime (22540678229) 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, 11270339144 + 11270339145.

It is an arithmetic number, because the mean of its divisors is an integer number (11270339145).

Almost surely, 222540678289 is an apocalyptic number.

It is an amenable number.

22540678289 is a deficient number, since it is larger than the sum of its proper divisors (1).

22540678289 is an equidigital number, since it uses as much as digits as its factorization.

22540678289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 22540678289 in words is "twenty-two billion, five hundred forty million, six hundred seventy-eight thousand, two hundred eighty-nine".