Search a number
-
+
2004324430020 = 22351117996717923
BaseRepresentation
bin11101001010101011000…
…010111011000011000100
321002121111211000122201220
4131022223002323003010
5230314324023230040
64132435100320340
7264544012360533
oct35125302730304
97077454018656
102004324430020
117030359850a0
122845502430b0
131170124584c3
146d01cd3631a
153720c98a2d0
hex1d2ab0bb0c4

2004324430020 has 192 divisors, whose sum is σ = 6483447484416. Its totient is φ = 457243269120.

The previous prime is 2004324430019. The next prime is 2004324430027. The reversal of 2004324430020 is 200344234002.

It is not an unprimeable number, because it can be changed into a prime (2004324430027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111820779 + ... + 111838701.

It is an arithmetic number, because the mean of its divisors is an integer number (33767955648).

Almost surely, 22004324430020 is an apocalyptic number.

2004324430020 is a gapful number since it is divisible by the number (20) 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 2004324430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241723742208).

2004324430020 is an abundant number, since it is smaller than the sum of its proper divisors (4479123054396).

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

2004324430020 is a wasteful number, since it uses less digits than its factorization.

2004324430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2004324430020 its reverse (200344234002), we get a palindrome (2204668664022).

The spelling of 2004324430020 in words is "two trillion, four billion, three hundred twenty-four million, four hundred thirty thousand, twenty".