Search a number
-
+
5069832768 = 263471113977
BaseRepresentation
bin1001011100010111…
…11000001001000000
3111002022210012010000
410232023320021000
540340334122033
62155024040000
7236430603360
oct45613701100
914068705100
105069832768
112171874440
12b95a63000
1362a46c260
1436147c9a0
151ea14ca13
hex12e2f8240

5069832768 has 560 divisors, whose sum is σ = 20198876544. Its totient is φ = 1214300160.

The previous prime is 5069832767. The next prime is 5069832811. The reversal of 5069832768 is 8672389605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5069832767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188696 + ... + 5189672.

Almost surely, 25069832768 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 5069832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099438272).

5069832768 is an abundant number, since it is smaller than the sum of its proper divisors (15129043776).

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

5069832768 is a wasteful number, since it uses less digits than its factorization.

5069832768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5069832768 is about 71202.7581488245. The cubic root of 5069832768 is about 1717.8999934107.

The spelling of 5069832768 in words is "five billion, sixty-nine million, eight hundred thirty-two thousand, seven hundred sixty-eight".