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27803383920 = 24335134721067
BaseRepresentation
bin11001111001001101…
…011111100001110000
32122202122222020121000
4121321031133201300
5423420131241140
620434523002000
72002664602224
oct317115374160
978678866530
1027803383920
1110878315944
12547b369300
132811279a80
1414ba80c784
15acad79a30
hex67935f870

27803383920 has 320 divisors, whose sum is σ = 105333258240. Its totient is φ = 6697976832.

The previous prime is 27803383891. The next prime is 27803383931. The reversal of 27803383920 is 2938330872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309227 + ... + 1330293.

It is an arithmetic number, because the mean of its divisors is an integer number (329166432).

Almost surely, 227803383920 is an apocalyptic number.

27803383920 is a gapful number since it is divisible by the number (20) 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 27803383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52666629120).

27803383920 is an abundant number, since it is smaller than the sum of its proper divisors (77529874320).

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

27803383920 is a wasteful number, since it uses less digits than its factorization.

27803383920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21149 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27803383920 in words is "twenty-seven billion, eight hundred three million, three hundred eighty-three thousand, nine hundred twenty".