Search a number
-
+
12003214706289 = 327926891682489
BaseRepresentation
bin1010111010101011011101…
…0110010100011001110001
31120111111101200010002210100
42232222313112110121301
53033130040431100124
641310111204223013
72346126564403032
oct256526726243161
946444350102710
1012003214706289
113908597862264
12141a37839aa69
13690b8a70a161
142d6d5c914a89
1515c3702761c9
hexaeab7594671

12003214706289 has 12 divisors (see below), whose sum is σ = 17338008975300. Its totient is φ = 8002128286464.

The previous prime is 12003214706261. The next prime is 12003214706347. The reversal of 12003214706289 is 98260741230021.

12003214706289 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 2 + 14 + 7 + 0 + 628 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5632552890000 + 6370661816289 = 2373300^2 + 2524017^2 .

It is not a de Polignac number, because 12003214706289 - 211 = 12003214704241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12003214706689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6292957 + ... + 7975445.

It is an arithmetic number, because the mean of its divisors is an integer number (1444834081275).

Almost surely, 212003214706289 is an apocalyptic number.

It is an amenable number.

12003214706289 is a deficient number, since it is larger than the sum of its proper divisors (5334794269011).

12003214706289 is a wasteful number, since it uses less digits than its factorization.

12003214706289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475184 (or 2475181 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12003214706289 in words is "twelve trillion, three billion, two hundred fourteen million, seven hundred six thousand, two hundred eighty-nine".

Divisors: 1 3 9 792689 1682489 2378067 5047467 7134201 15142401 1333690522921 4001071568763 12003214706289