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12890616783 = 3112291224529
BaseRepresentation
bin11000000000101011…
…10011001111001111
31020021100222011220020
430000111303033033
5202344444214113
65531042353223
7634304302062
oct140025631717
936240864806
1012890616783
115515465200
1225b905b813
1312a58242c5
148a40148d9
15506a47023
hex3005733cf

12890616783 has 24 divisors (see below), whose sum is σ = 19543498800. Its totient is φ = 7543092480.

The previous prime is 12890616779. The next prime is 12890616839. The reversal of 12890616783 is 38761609821.

12890616783 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12890616783 - 22 = 12890616779 is a prime.

It is a super-2 number, since 2×128906167832 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890616983) 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 23 ways as a sum of consecutive naturals, for example, 601738 + ... + 622791.

It is an arithmetic number, because the mean of its divisors is an integer number (814312450).

Almost surely, 212890616783 is an apocalyptic number.

12890616783 is a deficient number, since it is larger than the sum of its proper divisors (6652882017).

12890616783 is a wasteful number, since it uses less digits than its factorization.

12890616783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224583 (or 1224572 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 12890616783 in words is "twelve billion, eight hundred ninety million, six hundred sixteen thousand, seven hundred eighty-three".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 1224529 3673587 13469819 35511341 40409457 106534023 148168009 390624751 444504027 1171874253 4296872261 12890616783