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5582380803552 = 253372245953623
BaseRepresentation
bin101000100111011111111…
…0100110010010111100000
3201202200002201100021011000
41101032333310302113200
51212430203441203202
615512302122152000
71114212412625400
oct121167764622740
921680081307130
105582380803552
111862524481a83
12761aa0052600
13316554671037
1415428da08800
159a32585691c
hex513bfd325e0

5582380803552 has 288 divisors, whose sum is σ = 18948276345600. Its totient is φ = 1594287588096.

The previous prime is 5582380803539. The next prime is 5582380803697. The reversal of 5582380803552 is 2553080832855.

5582380803552 is a `hidden beast` number, since 5 + 5 + 8 + 2 + 3 + 8 + 0 + 80 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104077413 + ... + 104131035.

It is an arithmetic number, because the mean of its divisors is an integer number (65792626200).

Almost surely, 25582380803552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5582380803552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474138172800).

5582380803552 is an abundant number, since it is smaller than the sum of its proper divisors (13365895542048).

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

5582380803552 is a wasteful number, since it uses less digits than its factorization.

5582380803552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56115 (or 56094 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 5582380803552 in words is "five trillion, five hundred eighty-two billion, three hundred eighty million, eight hundred three thousand, five hundred fifty-two".