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11643225066 = 23311139914011
BaseRepresentation
bin10101101011111110…
…11000001111101010
31010001102210010011000
422311333120033222
5142321131200231
65203202415430
7561346531404
oct126577301752
933042703130
1011643225066
114a3532a360
12230b361576
1311372789b5
147c64a9b74
154822996e6
hex2b5fd83ea

11643225066 has 64 divisors (see below), whose sum is σ = 28248192000. Its totient is φ = 3525476400.

The previous prime is 11643225053. The next prime is 11643225119. The reversal of 11643225066 is 66052234611.

11643225066 is a `hidden beast` number, since 1 + 1 + 643 + 2 + 2 + 5 + 0 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11643225066.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824001 + ... + 838011.

It is an arithmetic number, because the mean of its divisors is an integer number (441378000).

Almost surely, 211643225066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11643225066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124096000).

11643225066 is an abundant number, since it is smaller than the sum of its proper divisors (16604966934).

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

11643225066 is a wasteful number, since it uses less digits than its factorization.

11643225066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 11643225066 its reverse (66052234611), we get a palindrome (77695459677).

The spelling of 11643225066 in words is "eleven billion, six hundred forty-three million, two hundred twenty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1399 2798 4197 8394 12591 14011 15389 25182 28022 30778 37773 42033 46167 75546 84066 92334 126099 138501 154121 252198 277002 308242 378297 415503 462363 756594 831006 924726 1387089 2774178 4161267 8322534 19601389 39202778 58804167 117608334 176412501 215615279 352825002 431230558 529237503 646845837 1058475006 1293691674 1940537511 3881075022 5821612533 11643225066