Search a number
-
+
54449456796 = 22347319107241
BaseRepresentation
bin110010101101011100…
…001100011010011100
312012112200020222220000
4302231130030122130
51343003030104141
641002544454300
73635210514000
oct625534143234
9165480228800
1054449456796
1121101331879
12a67701a390
13519982aab7
1428c7640700
15163a2ec5b6
hexcad70c69c

54449456796 has 480 divisors, whose sum is σ = 177097536000. Its totient is φ = 14539875840.

The previous prime is 54449456783. The next prime is 54449456797. The reversal of 54449456796 is 69765494445.

It is a happy number.

54449456796 is a `hidden beast` number, since 5 + 4 + 4 + 494 + 56 + 7 + 96 = 666.

54449456796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54449456797) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225931236 + ... + 225931476.

It is an arithmetic number, because the mean of its divisors is an integer number (368953200).

Almost surely, 254449456796 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 54449456796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88548768000).

54449456796 is an abundant number, since it is smaller than the sum of its proper divisors (122648079204).

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

54449456796 is a wasteful number, since it uses less digits than its factorization.

54449456796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 54449456796 in words is "fifty-four billion, four hundred forty-nine million, four hundred fifty-six thousand, seven hundred ninety-six".