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18843440000 = 275472111923
BaseRepresentation
bin10001100011001010…
…000001001110000000
31210122020020221012012
4101203022001032000
5302042410040000
612353452152052
71234646411600
oct214312011600
953566227165
1018843440000
117a9a6a3410
12379a768628
131a13bb29c8
14caa862c00
15754461735
hex463281380

18843440000 has 960 divisors, whose sum is σ = 65386569600. Its totient is φ = 5322240000.

The previous prime is 18843439963. The next prime is 18843440009. The reversal of 18843440000 is 4434881.

It is a super-3 number, since 3×188434400003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18843440009) 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 119 ways as a sum of consecutive naturals, for example, 819279989 + ... + 819280011.

It is an arithmetic number, because the mean of its divisors is an integer number (68111010).

Almost surely, 218843440000 is an apocalyptic number.

18843440000 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 18843440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32693284800).

18843440000 is an abundant number, since it is smaller than the sum of its proper divisors (46543129600).

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

18843440000 is a wasteful number, since it uses less digits than its factorization.

18843440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 18843440000 its reverse (4434881), we get a palindrome (18847874881).

The spelling of 18843440000 in words is "eighteen billion, eight hundred forty-three million, four hundred forty thousand".