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5358208800 = 253527323283
BaseRepresentation
bin1001111110101111…
…11100011100100000
3111211102102012122210
410333113330130200
541433200140200
62243405002120
7246532011000
oct47727743440
914742365583
105358208800
1122aa62963a
121056553340
1367512a269
1438b8a8000
15215612650
hex13f5fc720

5358208800 has 576 divisors, whose sum is σ = 21298636800. Its totient is φ = 1167344640.

The previous prime is 5358208799. The next prime is 5358208819. The reversal of 5358208800 is 88028535.

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 95 ways as a sum of consecutive naturals, for example, 18933459 + ... + 18933741.

It is an arithmetic number, because the mean of its divisors is an integer number (36976800).

Almost surely, 25358208800 is an apocalyptic number.

5358208800 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 5358208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649318400).

5358208800 is an abundant number, since it is smaller than the sum of its proper divisors (15940428000).

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

5358208800 is a wasteful number, since it uses less digits than its factorization.

5358208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 5358208800 is about 73199.7868849357. The cubic root of 5358208800 is about 1749.8730574587.

The spelling of 5358208800 in words is "five billion, three hundred fifty-eight million, two hundred eight thousand, eight hundred".