Search a number
-
+
11473285824 = 263571121367
BaseRepresentation
bin10101010111101110…
…00111001011000000
31002121121000022100000
422223313013023000
5141444130121244
65134252200000
7554214214620
oct125367071300
932547008300
1011473285824
114958409500
122282469000
13110acb8230
147abab0880
154723cc169
hex2abdc72c0

11473285824 has 1008 divisors, whose sum is σ = 46825635584. Its totient is φ = 2709780480.

The previous prime is 11473285781. The next prime is 11473285847. The reversal of 11473285824 is 42858237411.

11473285824 is a `hidden beast` number, since 1 + 1 + 47 + 3 + 28 + 582 + 4 = 666.

11473285824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 11473285824.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 171243039 + ... + 171243105.

Almost surely, 211473285824 is an apocalyptic number.

11473285824 is a gapful number since it is divisible by the number (14) 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 11473285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412817792).

11473285824 is an abundant number, since it is smaller than the sum of its proper divisors (35352349760).

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

11473285824 is a wasteful number, since it uses less digits than its factorization.

11473285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 11473285824 in words is "eleven billion, four hundred seventy-three million, two hundred eighty-five thousand, eight hundred twenty-four".