Search a number
-
+
18439712928 = 2532731383173
BaseRepresentation
bin10001001011000101…
…111011000010100000
31202121002120110202200
4101023011323002200
5300231031303203
612245431013200
71221644655000
oct211305730240
952532513680
1018439712928
11790281227a
1236a750a200
13197b367b50
14c6cdac000
1572dcb39a3
hex44b17b0a0

18439712928 has 576 divisors, whose sum is σ = 67034822400. Its totient is φ = 4776855552.

The previous prime is 18439712923. The next prime is 18439712939. The reversal of 18439712928 is 82921793481.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18439712923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106587850 + ... + 106588022.

It is an arithmetic number, because the mean of its divisors is an integer number (116379900).

Almost surely, 218439712928 is an apocalyptic number.

18439712928 is a gapful number since it is divisible by the number (18) 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 18439712928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33517411200).

18439712928 is an abundant number, since it is smaller than the sum of its proper divisors (48595109472).

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

18439712928 is a wasteful number, since it uses less digits than its factorization.

18439712928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 18439712928 in words is "eighteen billion, four hundred thirty-nine million, seven hundred twelve thousand, nine hundred twenty-eight".