Search a number
-
+
266115270414 = 237253107193827
BaseRepresentation
bin1111011111010110110…
…1001100011100001110
3221102220000211102012110
43313311231030130032
513330001002123124
6322130205444450
725140404322300
oct3676555143416
9842800742173
10266115270414
11a294a150454
12436a9570726
131c12c9a4366
14cc46bcb970
156dc79ce029
hex3df5b4c70e

266115270414 has 192 divisors, whose sum is σ = 640775183616. Its totient is φ = 73429364736.

The previous prime is 266115270383. The next prime is 266115270419. The reversal of 266115270414 is 414072511662.

266115270414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266115270419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321783469 + ... + 321784295.

It is an arithmetic number, because the mean of its divisors is an integer number (3337370748).

Almost surely, 2266115270414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266115270414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320387591808).

266115270414 is an abundant number, since it is smaller than the sum of its proper divisors (374659913202).

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

266115270414 is a wasteful number, since it uses less digits than its factorization.

266115270414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 266115270414 in words is "two hundred sixty-six billion, one hundred fifteen million, two hundred seventy thousand, four hundred fourteen".