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11124404720 = 24511132131571
BaseRepresentation
bin10100101110001000…
…01111000111110000
31001201021112022102122
422113010033013300
5140240321422340
65035510333412
7542446610552
oct122704170760
931637468378
1011124404720
114799488a10
1221a565a268
131083934400
147776154d2
15451964db5
hex29710f1f0

11124404720 has 240 divisors, whose sum is σ = 30840061824. Its totient is φ = 3699072000.

The previous prime is 11124404701. The next prime is 11124404723. The reversal of 11124404720 is 2740442111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11124404720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124404723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19482035 + ... + 19482605.

Almost surely, 211124404720 is an apocalyptic number.

11124404720 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 11124404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420030912).

11124404720 is an abundant number, since it is smaller than the sum of its proper divisors (19715657104).

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

11124404720 is a wasteful number, since it uses less digits than its factorization.

11124404720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 11124404720 its reverse (2740442111), we get a palindrome (13864846831).

The spelling of 11124404720 in words is "eleven billion, one hundred twenty-four million, four hundred four thousand, seven hundred twenty".