Search a number
-
+
18280488720 = 24351329281719
BaseRepresentation
bin10001000001100110…
…100001111100010000
31202011222222001012210
4101001212201330100
5244414301114340
612221542152120
71215002406324
oct210146417420
952158861183
1018280488720
11783094a81a
123662122640
131954389540
14c55ba1984
1571ed11180
hex4419a1f10

18280488720 has 320 divisors, whose sum is σ = 63445939200. Its totient is φ = 4323164160.

The previous prime is 18280488703. The next prime is 18280488727. The reversal of 18280488720 is 2788408281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18280488720.

It is not an unprimeable number, because it can be changed into a prime (18280488727) 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 63 ways as a sum of consecutive naturals, for example, 25424521 + ... + 25425239.

It is an arithmetic number, because the mean of its divisors is an integer number (198268560).

Almost surely, 218280488720 is an apocalyptic number.

18280488720 is a gapful number since it is divisible by the number (10) 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 18280488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31722969600).

18280488720 is an abundant number, since it is smaller than the sum of its proper divisors (45165450480).

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

18280488720 is a wasteful number, since it uses less digits than its factorization.

18280488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 18280488720 in words is "eighteen billion, two hundred eighty million, four hundred eighty-eight thousand, seven hundred twenty".