Search a number
-
+
18066443472 = 2435721137233
BaseRepresentation
bin10000110100110110…
…000000110011010000
31201122002012102100000
4100310312000303100
5244000002142342
612144414330000
71206463143600
oct206466006320
951562172300
1018066443472
117731044420
1236024b9900
13191bc2534c
14c355a4c00
1570b13044c
hex434d80cd0

18066443472 has 720 divisors, whose sum is σ = 68630732352. Its totient is φ = 4546160640.

The previous prime is 18066443467. The next prime is 18066443491. The reversal of 18066443472 is 27434466081.

18066443472 is a `hidden beast` number, since 1 + 80 + 6 + 64 + 43 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77538268 + ... + 77538500.

Almost surely, 218066443472 is an apocalyptic number.

18066443472 is a gapful number since it is divisible by the number (12) 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 18066443472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34315366176).

18066443472 is an abundant number, since it is smaller than the sum of its proper divisors (50564288880).

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

18066443472 is a wasteful number, since it uses less digits than its factorization.

18066443472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 18066443472 in words is "eighteen billion, sixty-six million, four hundred forty-three thousand, four hundred seventy-two".