Search a number
-
+
20204432640 = 28345724197
BaseRepresentation
bin10010110100010001…
…110010110100000000
31221011002012112010000
4102310101302310000
5312334313321030
613140511040000
71313453562300
oct226421626400
957132175100
1020204432640
11862896a317
123aba510000
131b9cb546b2
14d994dd600
157d3b9d860
hex4b4472d00

20204432640 has 1080 divisors, whose sum is σ = 87037767432. Its totient is φ = 4459069440.

The previous prime is 20204432623. The next prime is 20204432641. The reversal of 20204432640 is 4623440202.

20204432640 is a `hidden beast` number, since 20 + 204 + 432 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 20200368384 = 2016^2 + 142128^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20204432641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 208293072 + ... + 208293168.

Almost surely, 220204432640 is an apocalyptic number.

20204432640 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 20204432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43518883716).

20204432640 is an abundant number, since it is smaller than the sum of its proper divisors (66833334792).

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

20204432640 is an equidigital number, since it uses as much as digits as its factorization.

20204432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20204432640 its reverse (4623440202), we get a palindrome (24827872842).

The spelling of 20204432640 in words is "twenty billion, two hundred four million, four hundred thirty-two thousand, six hundred forty".