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12529028889 = 341379714929
BaseRepresentation
bin10111010101100100…
…11100111100011001
31012100011120121120000
423222302130330121
5201124412411024
65431124323213
7622323663006
oct135262347431
935304517500
1012529028889
11534a345933
122517b43509
131248941880
1486bdac8ad
154d4e1ecc9
hex2eac9cf19

12529028889 has 40 divisors (see below), whose sum is σ = 20182553160. Its totient is φ = 7699981824.

The previous prime is 12529028867. The next prime is 12529028933. The reversal of 12529028889 is 98882092521.

It is a happy number.

12529028889 is a `hidden beast` number, since 12 + 529 + 0 + 28 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1839123225 + 10689905664 = 42885^2 + 103392^2 .

It is not a de Polignac number, because 12529028889 - 27 = 12529028761 is a prime.

It is a super-3 number, since 3×125290288893 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12529028819) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 831777 + ... + 846705.

It is an arithmetic number, because the mean of its divisors is an integer number (504563829).

Almost surely, 212529028889 is an apocalyptic number.

It is an amenable number.

12529028889 is a deficient number, since it is larger than the sum of its proper divisors (7653524271).

12529028889 is a wasteful number, since it uses less digits than its factorization.

12529028889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15751 (or 15742 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12529028889 in words is "twelve billion, five hundred twenty-nine million, twenty-eight thousand, eight hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 351 797 1053 2391 7173 10361 14929 21519 31083 44787 64557 93249 134361 194077 279747 403083 582231 839241 1209249 1746693 5240079 11898413 15720237 35695239 107085717 154679369 321257151 464038107 963771453 1392114321 4176342963 12529028889