Search a number
-
+
6028673874000 = 243532943805757
BaseRepresentation
bin101011110111010100011…
…1101101111100001010000
3210100100001122111021101120
41113232220331233201100
51242233211002432000
620453311243402240
71161362105264361
oct127565075574120
923310048437346
106028673874000
111a14823264388
12814492823380
13349669a7034b
1416bb0a075b68
15a6c464606a0
hex57ba8f6f850

6028673874000 has 320 divisors, whose sum is σ = 20574289232640. Its totient is φ = 1516110489600.

The previous prime is 6028673873987. The next prime is 6028673874007. The reversal of 6028673874000 is 4783768206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6028673874007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7079122 + ... + 7884878.

It is an arithmetic number, because the mean of its divisors is an integer number (64294653852).

Almost surely, 26028673874000 is an apocalyptic number.

6028673874000 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 6028673874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287144616320).

6028673874000 is an abundant number, since it is smaller than the sum of its proper divisors (14545615358640).

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

6028673874000 is a wasteful number, since it uses less digits than its factorization.

6028673874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805855 (or 805839 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 6028673874000 in words is "six trillion, twenty-eight billion, six hundred seventy-three million, eight hundred seventy-four thousand".