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28462846131 = 328344386011
BaseRepresentation
bin11010100000100001…
…001001000010110011
32201110121212101200100
4122200201021002303
5431242442034011
621024201323443
72025223125456
oct324041110263
981417771610
1028462846131
1111086597635
125624196583
1328b7a948b5
14154023349d
15b18be0d56
hex6a08490b3

28462846131 has 24 divisors (see below), whose sum is σ = 41702746176. Its totient is φ = 18704078640.

The previous prime is 28462846067. The next prime is 28462846141. The reversal of 28462846131 is 13164826482.

28462846131 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 28 + 4 + 613 + 1 = 666.

It is not a de Polignac number, because 28462846131 - 26 = 28462846067 is a prime.

It is a super-3 number, since 3×284628461313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28462846141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287916 + ... + 373926.

It is an arithmetic number, because the mean of its divisors is an integer number (1737614424).

Almost surely, 228462846131 is an apocalyptic number.

28462846131 is a deficient number, since it is larger than the sum of its proper divisors (13239900045).

28462846131 is a wasteful number, since it uses less digits than its factorization.

28462846131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86543 (or 86540 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 28462846131 in words is "twenty-eight billion, four hundred sixty-two million, eight hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 83 249 443 747 1329 3987 36769 86011 110307 258033 330921 774099 7138913 21416739 38102873 64250217 114308619 342925857 3162538459 9487615377 28462846131