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11242372680 = 233257111723857
BaseRepresentation
bin10100111100001100…
…01111111001001000
31002000111111201001100
422132012033321020
5141011021411210
65055323021400
7545411406510
oct123606177110
932014451040
1011242372680
11484a031aa0
12221906a860
1310a21c9436
14789162840
1545beb85c0
hex29e18fe48

11242372680 has 384 divisors, whose sum is σ = 48235150080. Its totient is φ = 2198568960.

The previous prime is 11242372679. The next prime is 11242372703. The reversal of 11242372680 is 8627324211.

It is a happy number.

11242372680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 459312 + ... + 483168.

It is an arithmetic number, because the mean of its divisors is an integer number (125612370).

Almost surely, 211242372680 is an apocalyptic number.

11242372680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117575040).

11242372680 is an abundant number, since it is smaller than the sum of its proper divisors (36992777400).

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

11242372680 is a wasteful number, since it uses less digits than its factorization.

11242372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23909 (or 23902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 11242372680 its reverse (8627324211), we get a palindrome (19869696891).

The spelling of 11242372680 in words is "eleven billion, two hundred forty-two million, three hundred seventy-two thousand, six hundred eighty".