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12484065096 = 2332313553961
BaseRepresentation
bin10111010000001101…
…11011011101001000
31012020000222012211100
423220012323131020
5201031410040341
65422440501400
7621236542146
oct135006733510
935200865740
1012484065096
115326a24978
122504a7a860
13123c52a889
14866026596
154d0edc3b6
hex2e81bb748

12484065096 has 48 divisors (see below), whose sum is σ = 33919093260. Its totient is φ = 4148052480.

The previous prime is 12484065091. The next prime is 12484065103. The reversal of 12484065096 is 69056048421.

12484065096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12208040100 + 276024996 = 110490^2 + 16614^2 .

It is not an unprimeable number, because it can be changed into a prime (12484065091) 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 11 ways as a sum of consecutive naturals, for example, 254445 + ... + 299516.

Almost surely, 212484065096 is an apocalyptic number.

It is an amenable number.

12484065096 is an abundant number, since it is smaller than the sum of its proper divisors (21435028164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12484065096 is a wasteful number, since it uses less digits than its factorization.

12484065096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554286 (or 554279 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12484065096 in words is "twelve billion, four hundred eighty-four million, sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313 626 939 1252 1878 2504 2817 3756 5634 7512 11268 22536 553961 1107922 1661883 2215844 3323766 4431688 4985649 6647532 9971298 13295064 19942596 39885192 173389793 346779586 520169379 693559172 1040338758 1387118344 1560508137 2080677516 3121016274 4161355032 6242032548 12484065096