Search a number
-
+
6068514816000 = 215355371367
BaseRepresentation
bin101100001001110111110…
…1010111000000000000000
3210111010220020020211100000
41120103233222320000000
51243411304243103000
620523500501200000
71164302311561260
oct130235752700000
923433806224300
106068514816000
111a2a70845382a
12820151400000
13350348ba1b40
1416da0947b7a0
15a7cc8ec9000
hex584efab8000

6068514816000 has 3072 divisors, whose sum is σ = 28341721175040. Its totient is φ = 1261279641600.

The previous prime is 6068514815999. The next prime is 6068514816031. The reversal of 6068514816000 is 6184158606.

6068514816000 is a `hidden beast` number, since 6 + 0 + 68 + 51 + 481 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 6068514816000 = 4803 + 182403 = 49203 + 181203.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 90574847967 + ... + 90574848033.

It is an arithmetic number, because the mean of its divisors is an integer number (9225820695).

Almost surely, 26068514816000 is an apocalyptic number.

6068514816000 is a gapful number since it is divisible by the number (60) 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 6068514816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170860587520).

6068514816000 is an abundant number, since it is smaller than the sum of its proper divisors (22273206359040).

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

6068514816000 is an frugal number, since it uses more digits than its factorization.

6068514816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6068514816000 in words is "six trillion, sixty-eight billion, five hundred fourteen million, eight hundred sixteen thousand".