Search a number
-
+
5184981648 = 2432721126073
BaseRepresentation
bin1001101010000110…
…01000101010010000
3111101100110100200100
410311003020222100
541104323403043
62214300052400
7242326421400
oct46503105220
914340410610
105184981648
112220872500
121008534100
136482880a2
14372894800
152052e5cd3
hex1350c8a90

5184981648 has 270 divisors, whose sum is σ = 18556938582. Its totient is φ = 1346526720.

The previous prime is 5184981631. The next prime is 5184981671. The reversal of 5184981648 is 8461894815.

It is a happy number.

5184981648 is a `hidden beast` number, since 518 + 4 + 9 + 81 + 6 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5062037904 + 122943744 = 71148^2 + 11088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5184981594 and 5184981603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 850740 + ... + 856812.

Almost surely, 25184981648 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 5184981648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278469291).

5184981648 is an abundant number, since it is smaller than the sum of its proper divisors (13371956934).

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

5184981648 is a wasteful number, since it uses less digits than its factorization.

5184981648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123 (or 6096 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 5184981648 is about 72006.8166773119. The cubic root of 5184981648 is about 1730.8087198666.

The spelling of 5184981648 in words is "five billion, one hundred eighty-four million, nine hundred eighty-one thousand, six hundred forty-eight".