Search a number
-
+
8463464064 = 273311237547
BaseRepresentation
bin1111110000111011…
…00011011010000000
3210211211111112002000
413320131203122000
5114313121322224
63515453224000
7416506154226
oct77035433200
923754445060
108463464064
11365344a900
121782492000
13a4b575303
145a406cb16
153480480c9
hex1f8763680

8463464064 has 384 divisors, whose sum is σ = 28249838400. Its totient is φ = 2490808320.

The previous prime is 8463464033. The next prime is 8463464069. The reversal of 8463464064 is 4604643648.

8463464064 is a `hidden beast` number, since 8 + 4 + 634 + 6 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (8463464069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15472239 + ... + 15472785.

Almost surely, 28463464064 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 8463464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124919200).

8463464064 is an abundant number, since it is smaller than the sum of its proper divisors (19786374336).

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

8463464064 is a wasteful number, since it uses less digits than its factorization.

8463464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 8463464064 is about 91997.0872582388. The cubic root of 8463464064 is about 2037.8992908047.

The spelling of 8463464064 in words is "eight billion, four hundred sixty-three million, four hundred sixty-four thousand, sixty-four".