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11223442944 = 293573263
BaseRepresentation
bin10100111001111100…
…00010011000000000
31001222011212222100000
422130332002120000
5140441200133234
65053405200000
7545061456000
oct123476023000
931864788300
1011223442944
11483a38288a
122212860000
13109b2cc1cc
14786836000
1545a4c9899
hex29cf82600

11223442944 has 480 divisors, whose sum is σ = 39322483200. Its totient is φ = 3194505216.

The previous prime is 11223442927. The next prime is 11223442949. The reversal of 11223442944 is 44924432211.

11223442944 is a `hidden beast` number, since 1 + 1 + 22 + 344 + 294 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11223442899 and 11223442908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223442949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42674557 + ... + 42674819.

It is an arithmetic number, because the mean of its divisors is an integer number (81921840).

Almost surely, 211223442944 is an apocalyptic number.

11223442944 is a gapful number since it is divisible by the number (14) 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 11223442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661241600).

11223442944 is an abundant number, since it is smaller than the sum of its proper divisors (28099040256).

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

11223442944 is an frugal number, since it uses more digits than its factorization.

11223442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 275 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11223442944 in words is "eleven billion, two hundred twenty-three million, four hundred forty-two thousand, nine hundred forty-four".