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18973647000 = 233253711219131
BaseRepresentation
bin10001101010111010…
…101110000010011000
31210222022021010121200
4101222322232002120
5302324223201000
612414423034200
71241120224050
oct215272560230
953868233550
1018973647000
118057146900
12381629b960
131a34b71779
14cbdc78560
15760ad1500
hex46aeae098

18973647000 has 1152 divisors, whose sum is σ = 85448563200. Its totient is φ = 3706560000.

The previous prime is 18973646917. The next prime is 18973647023. The reversal of 18973647000 is 74637981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144836935 + ... + 144837065.

It is an arithmetic number, because the mean of its divisors is an integer number (74174100).

Almost surely, 218973647000 is an apocalyptic number.

18973647000 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 18973647000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42724281600).

18973647000 is an abundant number, since it is smaller than the sum of its proper divisors (66474916200).

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

18973647000 is a wasteful number, since it uses less digits than its factorization.

18973647000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 18973647000 in words is "eighteen billion, nine hundred seventy-three million, six hundred forty-seven thousand".