Search a number
-
+
45049488984 = 23331941793389
BaseRepresentation
bin101001111101001010…
…001010011001011000
311022021120120011012000
4221331022022121120
51214230132121414
632410114521000
73153240224013
oct517512123130
9138246504160
1045049488984
1118118297935
128892b96160
13432c24aa76
14227507237a
151289e66b09
hexa7d28a658

45049488984 has 256 divisors, whose sum is σ = 136684800000. Its totient is φ = 13699445760.

The previous prime is 45049488983. The next prime is 45049488989. The reversal of 45049488984 is 48988494054.

45049488984 is a `hidden beast` number, since 4 + 50 + 494 + 8 + 8 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45049488983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13291162 + ... + 13294550.

It is an arithmetic number, because the mean of its divisors is an integer number (533925000).

Almost surely, 245049488984 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 45049488984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68342400000).

45049488984 is an abundant number, since it is smaller than the sum of its proper divisors (91635311016).

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

45049488984 is a wasteful number, since it uses less digits than its factorization.

45049488984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 45049488984 in words is "forty-five billion, forty-nine million, four hundred eighty-eight thousand, nine hundred eighty-four".