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12066249525128 = 23292423492
BaseRepresentation
bin1010111110010110010010…
…0001000100011110001000
31120201112002200020200100022
42233211210201010132020
53040143134334301003
641355054123200012
72353520624462051
oct257454441043610
946645080220308
1012066249525128
1139322a4321667
12142a62a676008
13696ac4b20026
142da01c475728
1515dd0e149738
hexaf964844788

12066249525128 has 36 divisors (see below), whose sum is σ = 23431818172815. Its totient is φ = 5824948428096.

The previous prime is 12066249525061. The next prime is 12066249525167. The reversal of 12066249525128 is 82152594266021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 11794018114564 + 272231410564 = 3434242^2 + 521758^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2456242.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12066249525128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 284902898 + ... + 284945246.

Almost surely, 212066249525128 is an apocalyptic number.

It is an amenable number.

12066249525128 is a deficient number, since it is larger than the sum of its proper divisors (11365568647687).

12066249525128 is an frugal number, since it uses more digits than its factorization.

12066249525128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84762 (or 42380 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 12066249525128 in words is "twelve trillion, sixty-six billion, two hundred forty-nine million, five hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 29 58 116 232 841 1682 3364 6728 42349 84698 169396 338792 1228121 2456242 4912484 9824968 35615509 71231018 142462036 284924072 1793437801 3586875602 7173751204 14347502408 52009696229 104019392458 208038784916 416077569832 1508281190641 3016562381282 6033124762564 12066249525128