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20441244032 = 2711127911351
BaseRepresentation
bin10011000010011001…
…001010000110000000
31221202120210210021022
4103002121022012000
5313330424302112
613220210445012
71322360464436
oct230231120600
957676723238
1020441244032
11873a605210
123b65893768
131c09c2a091
14dbcb44d56
157e9879d72
hex4c264a180

20441244032 has 64 divisors (see below), whose sum is σ = 44463513600. Its totient is φ = 9283392000.

The previous prime is 20441243971. The next prime is 20441244073. The reversal of 20441244032 is 23044214402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20441243992 and 20441244010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1795157 + ... + 1806507.

It is an arithmetic number, because the mean of its divisors is an integer number (694742400).

Almost surely, 220441244032 is an apocalyptic number.

20441244032 is a gapful number since it is divisible by the number (22) 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 20441244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231756800).

20441244032 is an abundant number, since it is smaller than the sum of its proper divisors (24022269568).

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

20441244032 is a wasteful number, since it uses less digits than its factorization.

20441244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12655 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20441244032 its reverse (23044214402), we get a palindrome (43485458434).

The spelling of 20441244032 in words is "twenty billion, four hundred forty-one million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1279 1408 2558 5116 10232 11351 14069 20464 22702 28138 40928 45404 56276 81856 90808 112552 124861 163712 181616 225104 249722 363232 450208 499444 726464 900416 998888 1452928 1800832 1997776 3995552 7991104 14517929 15982208 29035858 58071716 116143432 159697219 232286864 319394438 464573728 638788876 929147456 1277577752 1858294912 2555155504 5110311008 10220622016 20441244032