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20322306369 = 3241893531753
BaseRepresentation
bin10010111011010011…
…011100100101000001
31221110022000010110200
4102323103130211001
5313110002300434
613200321315413
71316414516421
oct227323344501
957408003420
1020322306369
118689459622
123b31a95b69
131bbb3b5871
14dab024481
157de1d4199
hex4bb4dc941

20322306369 has 48 divisors (see below), whose sum is σ = 30511812240. Its totient is φ = 13024788480.

The previous prime is 20322306331. The next prime is 20322306383. The reversal of 20322306369 is 96360322302.

It is a happy number.

20322306369 is a `hidden beast` number, since 20 + 322 + 306 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10523682225 + 9798624144 = 102585^2 + 98988^2 .

It is not a de Polignac number, because 20322306369 - 216 = 20322240833 is a prime.

It is a super-2 number, since 2×203223063692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20322306769) 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 in 47 ways as a sum of consecutive naturals, for example, 11591997 + ... + 11593749.

It is an arithmetic number, because the mean of its divisors is an integer number (635662755).

Almost surely, 220322306369 is an apocalyptic number.

It is an amenable number.

20322306369 is a deficient number, since it is larger than the sum of its proper divisors (10189505871).

20322306369 is a wasteful number, since it uses less digits than its factorization.

20322306369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 20322306369 in words is "twenty billion, three hundred twenty-two million, three hundred six thousand, three hundred sixty-nine".

Divisors: 1 3 9 41 89 123 267 353 369 801 1059 1753 3177 3649 5259 10947 14473 15777 31417 32841 43419 71873 94251 130257 156017 215619 282753 468051 618809 646857 1288097 1404153 1856427 3864291 5569281 6396697 11592873 19190091 25371169 55074001 57570273 76113507 165222003 228340521 495666009 2258034041 6774102123 20322306369