Search a number
-
+
328563188694368 = 252931791796771193
BaseRepresentation
bin100101010110100111001010…
…0001001011111110101100000
31121002100100000112200110201022
41022231032110021133311200
5321031134402301204433
63122443502314425012
7126130623052450415
oct11255162411376540
91532310015613638
10328563188694368
1195765958436551
1230a258b7132168
13111444b6698544
145b1c7866d010c
1527eba38909698
hex12ad39425fd60

328563188694368 has 384 divisors, whose sum is σ = 705031133184000. Its totient is φ = 150361560760320.

The previous prime is 328563188694341. The next prime is 328563188694407. The reversal of 328563188694368 is 863496881365823.

It is a junction number, because it is equal to n+sod(n) for n = 328563188694292 and 328563188694301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275409210380 + ... + 275409211572.

It is an arithmetic number, because the mean of its divisors is an integer number (1836018576000).

Almost surely, 2328563188694368 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 328563188694368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352515566592000).

328563188694368 is an abundant number, since it is smaller than the sum of its proper divisors (376467944489632).

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

328563188694368 is a wasteful number, since it uses less digits than its factorization.

328563188694368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2190 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 80.

The spelling of 328563188694368 in words is "three hundred twenty-eight trillion, five hundred sixty-three billion, one hundred eighty-eight million, six hundred ninety-four thousand, three hundred sixty-eight".