Search a number
-
+
20440086912 = 273971961
BaseRepresentation
bin10011000010010100…
…101111100110000000
31221202111122000000000
4103002110233212000
5313330130240122
613220130000000
71322344605060
oct230224574600
957674560000
1020440086912
118739994913
123b65416000
131c099134ab
14dbc9233a0
157e96ec0ac
hex4c252f980

20440086912 has 640 divisors, whose sum is σ = 74683910400. Its totient is φ = 5441955840.

The previous prime is 20440086911. The next prime is 20440086941. The reversal of 20440086912 is 21968004402.

It is a super-2 number, since 2×204400869122 (a number of 21 digits) contains 22 as substring.

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 (20440086911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 335083362 + ... + 335083422.

It is an arithmetic number, because the mean of its divisors is an integer number (116693610).

Almost surely, 220440086912 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 20440086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37341955200).

20440086912 is an abundant number, since it is smaller than the sum of its proper divisors (54243823488).

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

20440086912 is an frugal number, since it uses more digits than its factorization.

20440086912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20440086912 in words is "twenty billion, four hundred forty million, eighty-six thousand, nine hundred twelve".