Search a number
-
+
5055324699600 = 24325273593831459
BaseRepresentation
bin100100110010000100011…
…0101010011101111010000
3122220021200021022001201100
41021210020311103233100
51130311301110341400
614430214544504400
71031143441643340
oct111441065235720
918807607261640
105055324699600
111679a5100119a
1269790a01b100
132a893b02abc6
1413697133ad20
158b7797aa100
hex49908d53bd0

5055324699600 has 720 divisors, whose sum is σ = 20171737497600. Its totient is φ = 1148487828480.

The previous prime is 5055324699571. The next prime is 5055324699613. The reversal of 5055324699600 is 69964235505.

It is a happy number.

5055324699600 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 3 + 24 + 6 + 9 + 9 + 600 = 666.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3464923671 + ... + 3464925129.

It is an arithmetic number, because the mean of its divisors is an integer number (28016302080).

Almost surely, 25055324699600 is an apocalyptic number.

5055324699600 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 5055324699600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085868748800).

5055324699600 is an abundant number, since it is smaller than the sum of its proper divisors (15116412798000).

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

5055324699600 is a wasteful number, since it uses less digits than its factorization.

5055324699600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 5055324699600 in words is "five trillion, fifty-five billion, three hundred twenty-four million, six hundred ninety-nine thousand, six hundred".