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12006038096 = 241357721337
BaseRepresentation
bin10110010111001110…
…11001101001010000
31010222201110221001122
423023213121221100
5144042021204341
65303203021412
7603343432343
oct131347315120
933881427048
1012006038096
115101106138
1223b096a868
131194499c70
1481c75045a
154a406494b
hex2cb9d9a50

12006038096 has 20 divisors (see below), whose sum is σ = 25051060692. Its totient is φ = 5541248256.

The previous prime is 12006038047. The next prime is 12006038101. The reversal of 12006038096 is 69083060021.

12006038096 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 539911696 + 11466126400 = 23236^2 + 107080^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28860461 + ... + 28860876.

Almost surely, 212006038096 is an apocalyptic number.

12006038096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12006038096 is an abundant number, since it is smaller than the sum of its proper divisors (13045022596).

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

12006038096 is a wasteful number, since it uses less digits than its factorization.

12006038096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57721358 (or 57721352 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 12006038096 in words is "twelve billion, six million, thirty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 57721337 115442674 230885348 461770696 750377381 923541392 1500754762 3001509524 6003019048 12006038096