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18220410000 = 2433541329179
BaseRepresentation
bin10000111110000001…
…010110010010010000
31202000210220201201000
4100332001112102100
5244303411110000
612211554342000
71213342633602
oct207601262220
952023821630
1018220410000
1177aaa45791
123645b8a900
131944ab27c0
14c4bc03172
157198e5000
hex43e056490

18220410000 has 800 divisors, whose sum is σ = 73214064000. Its totient is φ = 4306176000.

The previous prime is 18220409983. The next prime is 18220410041. The reversal of 18220410000 is 1402281.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 101789911 + ... + 101790089.

It is an arithmetic number, because the mean of its divisors is an integer number (91517580).

Almost surely, 218220410000 is an apocalyptic number.

18220410000 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 18220410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36607032000).

18220410000 is an abundant number, since it is smaller than the sum of its proper divisors (54993654000).

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

18220410000 is a wasteful number, since it uses less digits than its factorization.

18220410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 18220410000 its reverse (1402281), we get a palindrome (18221812281).

The spelling of 18220410000 in words is "eighteen billion, two hundred twenty million, four hundred ten thousand".