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5500237024800 = 25345272171931173
BaseRepresentation
bin101000000001001111110…
…1011001000111000100000
3201110211001222022221120000
41100002133223020320200
51210103441134243200
615410435104020000
71105244000213100
oct120023753107040
921424058287500
105500237024800
111830701456221
12749b96301600
1330b8933608ab
141502da269200
1598119074300
hex5009fac8e20

5500237024800 has 4320 divisors, whose sum is σ = 27000026887680. Its totient is φ = 1078537420800.

The previous prime is 5500237024787. The next prime is 5500237024823. The reversal of 5500237024800 is 84207320055.

5500237024800 is a `hidden beast` number, since 5 + 500 + 2 + 3 + 70 + 2 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 31793277514 + ... + 31793277686.

It is an arithmetic number, because the mean of its divisors is an integer number (6250006224).

Almost surely, 25500237024800 is an apocalyptic number.

5500237024800 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 5500237024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500013443840).

5500237024800 is an abundant number, since it is smaller than the sum of its proper divisors (21499789862880).

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

5500237024800 is a wasteful number, since it uses less digits than its factorization.

5500237024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 5500237024800 in words is "five trillion, five hundred billion, two hundred thirty-seven million, twenty-four thousand, eight hundred".