Search a number
-
+
6928381008 = 24371719613
BaseRepresentation
bin1100111001111011…
…01011010001010000
3122212211222020000000
412130331223101100
5103142131143013
63103255130000
7333456160353
oct63475532120
918784866000
106928381008
112a3598821a
121414373900
1386551b543
1449a23629a
152a83bd973
hex19cf6b450

6928381008 has 320 divisors, whose sum is σ = 22475347200. Its totient is φ = 2055849984.

The previous prime is 6928381007. The next prime is 6928381013. The reversal of 6928381008 is 8001838296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6928381007) 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 63 ways as a sum of consecutive naturals, for example, 11302110 + ... + 11302722.

It is an arithmetic number, because the mean of its divisors is an integer number (70235460).

Almost surely, 26928381008 is an apocalyptic number.

6928381008 is a gapful number since it is divisible by the number (68) 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 6928381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237673600).

6928381008 is an abundant number, since it is smaller than the sum of its proper divisors (15546966192).

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

6928381008 is a wasteful number, since it uses less digits than its factorization.

6928381008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6928381008 is about 83236.8969147697. The cubic root of 6928381008 is about 1906.3848916631.

The spelling of 6928381008 in words is "six billion, nine hundred twenty-eight million, three hundred eighty-one thousand, eight".