Search a number
-
+
328563550080 = 27325457124819
BaseRepresentation
bin1001100011111111110…
…10011110011110000000
31011102002011021201021100
410301333322132132000
520340344232100310
6410535013054400
732511053044503
oct4617772363600
91142064251240
10328563550080
11117385616237
1253817327400
1324ca272252c
1411c8c8ab13a
158830142ec0
hex4c7fe9e780

328563550080 has 192 divisors, whose sum is σ = 1137062768400. Its totient is φ = 87424524288.

The previous prime is 328563550079. The next prime is 328563550109. The reversal of 328563550080 is 80055365823.

328563550080 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 63 + 5 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2569911 + ... + 2694729.

Almost surely, 2328563550080 is an apocalyptic number.

328563550080 is a gapful number since it is divisible by the number (30) 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 328563550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568531384200).

328563550080 is an abundant number, since it is smaller than the sum of its proper divisors (808499218320).

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

328563550080 is a wasteful number, since it uses less digits than its factorization.

328563550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125301 (or 125286 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 328563550080 in words is "three hundred twenty-eight billion, five hundred sixty-three million, five hundred fifty thousand, eighty".