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18973440000 = 211355461
BaseRepresentation
bin10001101010111001…
…111011100000000000
31210222021212121200000
4101222321323200000
5302324200040000
612414414400000
71241115402414
oct215271734000
953867777600
1018973440000
118057015329
123816200000
131a34acb498
14cbdc22d44
15760a90000
hex46ae7b800

18973440000 has 720 divisors, whose sum is σ = 72176864760. Its totient is φ = 4976640000.

The previous prime is 18973439929. The next prime is 18973440041. The reversal of 18973440000 is 4437981.

It is a happy number.

18973440000 is a `hidden beast` number, since 189 + 73 + 4 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311039970 + ... + 311040030.

Almost surely, 218973440000 is an apocalyptic number.

18973440000 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 18973440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088432380).

18973440000 is an abundant number, since it is smaller than the sum of its proper divisors (53203424760).

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

18973440000 is an frugal number, since it uses more digits than its factorization.

18973440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 18973440000 its reverse (4437981), we get a palindrome (18977877981).

The spelling of 18973440000 in words is "eighteen billion, nine hundred seventy-three million, four hundred forty thousand".