Search a number
-
+
6394788000000 = 2837561743
BaseRepresentation
bin101110100001110011100…
…0100010011000100000000
3211122100001202210220000000
41131003213010103010000
51314233011212000000
621333420340000000
71230002544101001
oct135034704230400
924570052726000
106394788000000
112046018129034
12873429690000
13375044c4326a
1418171baa71a8
15b1523000000
hex5d0e7113100

6394788000000 has 2016 divisors, whose sum is σ = 25926530636160. Its totient is φ = 1567641600000.

The previous prime is 6394787999993. The next prime is 6394788000031. The reversal of 6394788000000 is 8874936.

It is a happy number.

6394788000000 is a `hidden beast` number, since 639 + 4 + 7 + 8 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×63947880000003 (a number of 39 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6394788000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 148715999979 + ... + 148716000021.

It is an arithmetic number, because the mean of its divisors is an integer number (12860382260).

Almost surely, 26394788000000 is an apocalyptic number.

6394788000000 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 6394788000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963265318080).

6394788000000 is an abundant number, since it is smaller than the sum of its proper divisors (19531742636160).

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

6394788000000 is an frugal number, since it uses more digits than its factorization.

6394788000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6394788000000 in words is "six trillion, three hundred ninety-four billion, seven hundred eighty-eight million", and thus it is an aban number.