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11242550592 = 2632721322357
BaseRepresentation
bin10100111100001101…
…11011010101000000
31002000111211202002200
422132012323111000
5141011043104332
65055330513200
7545413050300
oct123606732500
932014752080
1011242550592
11484a143729
122219135800
1310a225c400
147891ab600
1545c00117c
hex29e1bb540

11242550592 has 378 divisors, whose sum is σ = 40608487998. Its totient is φ = 2963810304.

The previous prime is 11242550587. The next prime is 11242550633. The reversal of 11242550592 is 29505524211.

11242550592 is a `hidden beast` number, since 1 + 12 + 4 + 2 + 5 + 50 + 592 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 323136576 + 10919414016 = 17976^2 + 104496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4768678 + ... + 4771034.

Almost surely, 211242550592 is an apocalyptic number.

11242550592 is a gapful number since it is divisible by the number (12) 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 11242550592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304243999).

11242550592 is an abundant number, since it is smaller than the sum of its proper divisors (29365937406).

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

11242550592 is a wasteful number, since it uses less digits than its factorization.

11242550592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11242550592 in words is "eleven billion, two hundred forty-two million, five hundred fifty thousand, five hundred ninety-two".