Search a number
-
+
5001068160 = 2732511174643
BaseRepresentation
bin1001010100001011…
…00011111010000000
3110220112101120210200
410222011203322000
540220233140120
62144130125200
7234634243434
oct45205437200
913815346720
105001068160
112136a77590
12b76a20800
13619143b3a
1435629c9c4
151e40b7e90
hex12a163e80

5001068160 has 384 divisors, whose sum is σ = 19951738560. Its totient is φ = 1140817920.

The previous prime is 5001068141. The next prime is 5001068161. The reversal of 5001068160 is 618601005.

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 (5001068161) 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 47 ways as a sum of consecutive naturals, for example, 1074799 + ... + 1079441.

Almost surely, 25001068160 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 5001068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975869280).

5001068160 is an abundant number, since it is smaller than the sum of its proper divisors (14950670400).

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

5001068160 is a wasteful number, since it uses less digits than its factorization.

5001068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5001068160 is about 70718.2307470994. The cubic root of 5001068160 is about 1710.0977065337.

Adding to 5001068160 its reverse (618601005), we get a palindrome (5619669165).

The spelling of 5001068160 in words is "five billion, one million, sixty-eight thousand, one hundred sixty".