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52304353200 = 2432521131137311
BaseRepresentation
bin110000101101100101…
…010001011110110000
312000000011212102221200
4300231211101132300
51324104403300300
640010035451200
73531102444441
oct605545213660
9160004772850
1052304353200
1120200497790
12a178756b00
134c172aa428
1427627b32c8
151561d26200
hexc2d9517b0

52304353200 has 720 divisors, whose sum is σ = 206553065472. Its totient is φ = 12142080000.

The previous prime is 52304353163. The next prime is 52304353247. The reversal of 52304353200 is 235340325.

52304353200 is a `hidden beast` number, since 5 + 2 + 304 + 35 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 168181045 + ... + 168181355.

Almost surely, 252304353200 is an apocalyptic number.

52304353200 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 52304353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103276532736).

52304353200 is an abundant number, since it is smaller than the sum of its proper divisors (154248712272).

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

52304353200 is a wasteful number, since it uses less digits than its factorization.

52304353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 52304353200 its reverse (235340325), we get a palindrome (52539693525).

It can be divided in two parts, 52304 and 353200, that added together give a palindrome (405504).

The spelling of 52304353200 in words is "fifty-two billion, three hundred four million, three hundred fifty-three thousand, two hundred".