Search a number
-
+
18064665216 = 27321331167233
BaseRepresentation
bin10000110100101111…
…001110101010000000
31201121221212002000200
4100310233032222000
5243444023241331
612144312245200
71206442056303
oct206457165200
951557762020
1018064665216
11773003a394
1236019a0800
13191b751b20
14c35260b3a
1570adcd5e6
hex434bcea80

18064665216 has 384 divisors, whose sum is σ = 58383037440. Its totient is φ = 5323898880.

The previous prime is 18064665193. The next prime is 18064665257. The reversal of 18064665216 is 61256646081.

18064665216 is a `hidden beast` number, since 1 + 8 + 0 + 64 + 66 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77530636 + ... + 77530868.

It is an arithmetic number, because the mean of its divisors is an integer number (152039160).

Almost surely, 218064665216 is an apocalyptic number.

18064665216 is a gapful number since it is divisible by the number (16) 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 18064665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191518720).

18064665216 is an abundant number, since it is smaller than the sum of its proper divisors (40318372224).

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

18064665216 is a wasteful number, since it uses less digits than its factorization.

18064665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18064665216 in words is "eighteen billion, sixty-four million, six hundred sixty-five thousand, two hundred sixteen".