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18028206240 = 25351121719312
BaseRepresentation
bin10000110010100100…
…001001100010100000
31201112102020202201020
4100302210021202200
5243410210044430
612140531005440
71205520140022
oct206244114240
951472222636
1018028206240
1177114a8200
1235b1739880
131914027c75
14c30490012
15707acab10
hex4329098a0

18028206240 has 864 divisors, whose sum is σ = 71887798080. Its totient is φ = 3771187200.

The previous prime is 18028206233. The next prime is 18028206241. The reversal of 18028206240 is 4260282081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18028206241) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 581555025 + ... + 581555055.

It is an arithmetic number, because the mean of its divisors is an integer number (83203470).

Almost surely, 218028206240 is an apocalyptic number.

18028206240 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 18028206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35943899040).

18028206240 is an abundant number, since it is smaller than the sum of its proper divisors (53859591840).

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

18028206240 is a wasteful number, since it uses less digits than its factorization.

18028206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 18028206240 in words is "eighteen billion, twenty-eight million, two hundred six thousand, two hundred forty".