Search a number
-
+
266263668 = 223211838101
BaseRepresentation
bin11111101111011…
…01110001110100
3200120000121002100
433313231301310
51021130414133
642230542100
76412126626
oct1767556164
9616017070
10266263668
11127331920
1275207930
1343218288
1427510c16
1518597e13
hexfdedc74

266263668 has 72 divisors (see below), whose sum is σ = 743180256. Its totient is φ = 79704000.

The previous prime is 266263667. The next prime is 266263687. The reversal of 266263668 is 866362662.

266263668 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 636 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266263661) 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 23 ways as a sum of consecutive naturals, for example, 28818 + ... + 36918.

It is an arithmetic number, because the mean of its divisors is an integer number (10321948).

Almost surely, 2266263668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266263668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371590128).

266263668 is an abundant number, since it is smaller than the sum of its proper divisors (476916588).

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

266263668 is a wasteful number, since it uses less digits than its factorization.

266263668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8200 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 266263668 is about 16317.5876893614. The cubic root of 266263668 is about 643.3351838177.

The spelling of 266263668 in words is "two hundred sixty-six million, two hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8101 8217 10956 16202 16434 24303 32404 32868 48606 72909 89111 97212 145818 178222 267333 291636 356444 534666 672383 801999 1069332 1344766 1603998 2017149 2689532 3207996 4034298 6051447 7396213 8068596 12102894 14792426 22188639 24205788 29584852 44377278 66565917 88754556 133131834 266263668