Search a number
-
+
800964388896 = 253717712693671
BaseRepresentation
bin10111010011111010011…
…00101010100000100000
32211120102120210202211220
423221331030222200200
5101110333340421041
61411542530335040
7111603433654320
oct13517514524040
92746376722756
10800964388896
11289761575411
1210b29542a480
135a6b89c88a9
142aaa4483280
1515c7ccdbd66
hexba7d32a820

800964388896 has 384 divisors, whose sum is σ = 2590370979840. Its totient is φ = 211504742400.

The previous prime is 800964388871. The next prime is 800964388897. The reversal of 800964388896 is 698883469008.

It is a self number, because there is not a number n which added to its sum of digits gives 800964388896.

It is not an unprimeable number, because it can be changed into a prime (800964388897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218185141 + ... + 218188811.

It is an arithmetic number, because the mean of its divisors is an integer number (6745757760).

Almost surely, 2800964388896 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 800964388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295185489920).

800964388896 is an abundant number, since it is smaller than the sum of its proper divisors (1789406590944).

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

800964388896 is a wasteful number, since it uses less digits than its factorization.

800964388896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 800964388896 in words is "eight hundred billion, nine hundred sixty-four million, three hundred eighty-eight thousand, eight hundred ninety-six".