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11244000800 = 25522321632
BaseRepresentation
bin10100111100011000…
…11101011000100000
31002000121120102102002
422132030131120200
5141011431011200
65055421543132
7545431300304
oct123614353040
932017512362
1011244000800
11484aa4424a
122219714aa8
1310a2649516
14789467d04
1545c1dabd5
hex29e31d620

11244000800 has 162 divisors, whose sum is σ = 28871880597. Its totient is φ = 4275659520.

The previous prime is 11244000799. The next prime is 11244000809. The reversal of 11244000800 is 800044211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11019120784 + 224880016 = 104972^2 + 14996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74980.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11244000809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68981519 + ... + 68981681.

Almost surely, 211244000800 is an apocalyptic number.

11244000800 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 11244000800

11244000800 is an abundant number, since it is smaller than the sum of its proper divisors (17627879797).

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

11244000800 is an equidigital number, since it uses as much as digits as its factorization.

11244000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 11244000800 in words is "eleven billion, two hundred forty-four million, eight hundred", and thus it is an aban number.