Search a number
-
+
218240878912 = 2673193116879
BaseRepresentation
bin1100101101000000101…
…0111000100101000000
3202212022120201100021021
43023100022320211000
512033424131111122
6244131455235224
721524132602000
oct3132012704500
9685276640237
10218240878912
1184612317541
1236368518b14
131777041a654
14a7c48d2000
155a24a5e1c7
hex32d02b8940

218240878912 has 224 divisors, whose sum is σ = 548802560000. Its totient is φ = 85745640960.

The previous prime is 218240878883. The next prime is 218240878951. The reversal of 218240878912 is 219878042812.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 218240878912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12921289 + ... + 12938167.

Almost surely, 2218240878912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218240878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274401280000).

218240878912 is an abundant number, since it is smaller than the sum of its proper divisors (330561681088).

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

218240878912 is a wasteful number, since it uses less digits than its factorization.

218240878912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962 (or 16938 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 52.

The spelling of 218240878912 in words is "two hundred eighteen billion, two hundred forty million, eight hundred seventy-eight thousand, nine hundred twelve".