Search a number
-
+
8693968896 = 21233127619
BaseRepresentation
bin10000001100011001…
…10111000000000000
3211102220020101021000
420012030313000000
5120301124001041
63554405532000
7425305342044
oct100614670000
924386211230
108693968896
113761578568
121827714000
13a872502c2
145c6912024
1535d3cabb6
hex206337000

8693968896 has 208 divisors, whose sum is σ = 26001510400. Its totient is φ = 2870525952.

The previous prime is 8693968891. The next prime is 8693968931. The reversal of 8693968896 is 6988693968.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8693968891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14044875 + ... + 14045493.

Almost surely, 28693968896 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 8693968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000755200).

8693968896 is an abundant number, since it is smaller than the sum of its proper divisors (17307541504).

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

8693968896 is a wasteful number, since it uses less digits than its factorization.

8693968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 751 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 8693968896 is about 93241.4548149052. The cubic root of 8693968896 is about 2056.2347483882.

The spelling of 8693968896 in words is "eight billion, six hundred ninety-three million, nine hundred sixty-eight thousand, eight hundred ninety-six".