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5499821683200 = 2935213611791009
BaseRepresentation
bin101000000001000011011…
…1010101111001000000000
3201110210000000210101222210
41100002012322233020000
51210102113322330300
615410325545502120
71105230464653455
oct120020672571000
921423000711883
105499821683200
111830508a619a9
12749a9b1a1940
1330b8282aa330
1415029b02d82c
15980e2880050
hex50086eaf200

5499821683200 has 960 divisors, whose sum is σ = 20017550044800. Its totient is φ = 1322857267200.

The previous prime is 5499821683199. The next prime is 5499821683247. The reversal of 5499821683200 is 23861289945.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5450764296 + ... + 5450765304.

It is an arithmetic number, because the mean of its divisors is an integer number (20851614630).

Almost surely, 25499821683200 is an apocalyptic number.

5499821683200 is a gapful number since it is divisible by the number (50) 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 5499821683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008775022400).

5499821683200 is an abundant number, since it is smaller than the sum of its proper divisors (14517728361600).

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

5499821683200 is a wasteful number, since it uses less digits than its factorization.

5499821683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 5499821683200 in words is "five trillion, four hundred ninety-nine billion, eight hundred twenty-one million, six hundred eighty-three thousand, two hundred".