Search a number
-
+
5484036096 = 21433721123
BaseRepresentation
bin1010001101101111…
…11100000000000000
3112011012011220021000
411012313330000000
542212403123341
62304101532000
7252620352300
oct50667740000
915135156230
105484036096
112364660540
121090714000
13695214696
143a049d600
152216b98b6
hex146dfc000

5484036096 has 720 divisors, whose sum is σ = 21516122880. Its totient is φ = 1362493440.

The previous prime is 5484036049. The next prime is 5484036113. The reversal of 5484036096 is 6906304845.

5484036096 is a `hidden beast` number, since 548 + 40 + 3 + 60 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 238436341 + ... + 238436363.

It is an arithmetic number, because the mean of its divisors is an integer number (29883504).

Almost surely, 25484036096 is an apocalyptic number.

5484036096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5484036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758061440).

5484036096 is an abundant number, since it is smaller than the sum of its proper divisors (16032086784).

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

5484036096 is a wasteful number, since it uses less digits than its factorization.

5484036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5484036096 is about 74054.2780398270. The cubic root of 5484036096 is about 1763.4646901771.

The spelling of 5484036096 in words is "five billion, four hundred eighty-four million, thirty-six thousand, ninety-six".