Search a number
-
+
19683000000 = 263956
BaseRepresentation
bin10010010101001100…
…101011111011000000
31212210202001000000000
4102111030223323000
5310302322000000
613013043000000
71264522511436
oct222514537300
955722030000
1019683000000
1183905a4254
123993969000
131b18b07081
14d4a168d56
157a3000000
hex49532bec0

19683000000 has 490 divisors, whose sum is σ = 73232421988. Its totient is φ = 5248800000.

The previous prime is 19682999989. The next prime is 19683000037. The reversal of 19683000000 is 38691.

The cubic root of 19683000000 is 2700.

It is a perfect power (a cube), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3936599998 + ... + 3936600002.

Almost surely, 219683000000 is an apocalyptic number.

19683000000 is a gapful number since it is divisible by the number (10) 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 19683000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36616210994).

19683000000 is an abundant number, since it is smaller than the sum of its proper divisors (53549421988).

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

19683000000 is an frugal number, since it uses more digits than its factorization.

19683000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 19683000000 by its sum of digits (27), we get a 6-th power (531441000000 = 906).

19683000000 divided by its sum of digits (27) gives a 6-th power (729000000 = 306).

Adding to 19683000000 its reverse (38691), we get a palindrome (19683038691).

The spelling of 19683000000 in words is "nineteen billion, six hundred eighty-three million", and thus it is an aban number.