Search a number
-
+
2109431808 = 2133411172
BaseRepresentation
bin111110110111011…
…0110000000000000
312110000021020110000
41331232312000000
513310003304213
6545152240000
7103162605651
oct17556660000
95400236400
102109431808
119927a0380
124aa540000
13278040c03
14160223528
15c52cbc73
hex7dbb6000

2109431808 has 420 divisors, whose sum is σ = 7302951612. Its totient is φ = 601620480.

The previous prime is 2109431801. The next prime is 2109431869. The reversal of 2109431808 is 8081349012.

2109431808 is a `hidden beast` number, since 210 + 9 + 431 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109431801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 124084216 + ... + 124084232.

Almost surely, 22109431808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2109431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651475806).

2109431808 is an abundant number, since it is smaller than the sum of its proper divisors (5193519804).

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

2109431808 is an equidigital number, since it uses as much as digits as its factorization.

2109431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2109431808 is about 45928.5511201910. The cubic root of 2109431808 is about 1282.4934728302.

The spelling of 2109431808 in words is "two billion, one hundred nine million, four hundred thirty-one thousand, eight hundred eight".