Search a number
-
+
18445572096 = 211371922573
BaseRepresentation
bin10001001011011100…
…010001100000000000
31202121111121011000220
4101023130101200000
5300234031301341
612250200343040
71222045530060
oct211334214000
952544534026
1018445572096
117906054366
1236a9474a80
13197c639a03
14c6da953a0
1572e56ea66
hex44b711800

18445572096 has 192 divisors, whose sum is σ = 59161939200. Its totient is φ = 4992565248.

The previous prime is 18445572073. The next prime is 18445572113. The reversal of 18445572096 is 69027554481.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805866 + ... + 828438.

It is an arithmetic number, because the mean of its divisors is an integer number (308135100).

Almost surely, 218445572096 is an apocalyptic number.

18445572096 is a gapful number since it is divisible by the number (16) 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 18445572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29580969600).

18445572096 is an abundant number, since it is smaller than the sum of its proper divisors (40716367104).

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

18445572096 is a wasteful number, since it uses less digits than its factorization.

18445572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22624 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 18445572096 in words is "eighteen billion, four hundred forty-five million, five hundred seventy-two thousand, ninety-six".