Search a number
-
+
6063580068000 = 253537313223379
BaseRepresentation
bin101100000111100100110…
…0010010011100010100000
3210110200011022122122200120
41120033021202103202200
51243321202444134000
620521323100320240
71164036111114000
oct130171142234240
923420138578616
106063580068000
111a286059645a4
1281b1b4843080
1334ca4070b900
1416d69bd24000
15a7adab616a0
hex583c98938a0

6063580068000 has 2304 divisors, whose sum is σ = 26244062208000. Its totient is φ = 1220496076800.

The previous prime is 6063580067989. The next prime is 6063580068001. The reversal of 6063580068000 is 8600853606.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6063580068001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 15998891811 + ... + 15998892189.

It is an arithmetic number, because the mean of its divisors is an integer number (11390652000).

Almost surely, 26063580068000 is an apocalyptic number.

6063580068000 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 6063580068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122031104000).

6063580068000 is an abundant number, since it is smaller than the sum of its proper divisors (20180482140000).

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

6063580068000 is a wasteful number, since it uses less digits than its factorization.

6063580068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 6063580068000 in words is "six trillion, sixty-three billion, five hundred eighty million, sixty-eight thousand".