Search a number
-
+
11242415646 = 23273112101149
BaseRepresentation
bin10100111100001100…
…11010011000011110
31002000111120212222200
422132012122120132
5141011024300041
65055323552330
7545411646000
oct123606323036
932014525880
1011242415646
11484a061300
12221908b6a6
1310a2212b67
14789174370
1545bec61b6
hex29e19a61e

11242415646 has 288 divisors, whose sum is σ = 31744440000. Its totient is φ = 2871792000.

The previous prime is 11242415641. The next prime is 11242415669. The reversal of 11242415646 is 64651424211.

11242415646 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 4 + 1 + 5 + 646 = 666.

11242415646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11242415646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242415641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75452380 + ... + 75452528.

It is an arithmetic number, because the mean of its divisors is an integer number (110223750).

Almost surely, 211242415646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242415646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220000).

11242415646 is an abundant number, since it is smaller than the sum of its proper divisors (20502024354).

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

11242415646 is a wasteful number, since it uses less digits than its factorization.

11242415646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 11242415646 its reverse (64651424211), we get a palindrome (75893839857).

The spelling of 11242415646 in words is "eleven billion, two hundred forty-two million, four hundred fifteen thousand, six hundred forty-six".