Search a number
-
+
448481049088 = 2916725120897
BaseRepresentation
bin1101000011010111000…
…11011011101000000000
31120212121102012211200111
412201223203123220000
524321442122032323
6542010201201104
744254531006312
oct6415343335000
91525542184614
10448481049088
11163221951116
1272b03490194
13333a37b2037
14179c6c997b2
15b9ecc4dc0d
hex686b8dba00

448481049088 has 80 divisors (see below), whose sum is σ = 905086695744. Its totient is φ = 221999104000.

The previous prime is 448481049083. The next prime is 448481049091. The reversal of 448481049088 is 880940184844.

It is a super-2 number, since 2×4484810490882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448481049083) 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 7 ways as a sum of consecutive naturals, for example, 21451056 + ... + 21471952.

Almost surely, 2448481049088 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 448481049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452543347872).

448481049088 is an abundant number, since it is smaller than the sum of its proper divisors (456605646656).

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

448481049088 is a wasteful number, since it uses less digits than its factorization.

448481049088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21333 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 448481049088 in words is "four hundred forty-eight billion, four hundred eighty-one million, forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 167 251 256 334 502 512 668 1004 1336 2008 2672 4016 5344 8032 10688 16064 20897 21376 32128 41794 41917 42752 64256 83588 83834 85504 128512 167176 167668 334352 335336 668704 670672 1337408 1341344 2674816 2682688 3489799 5245147 5349632 5365376 6979598 10490294 10699264 10730752 13959196 20980588 21461504 27918392 41961176 55836784 83922352 111673568 167844704 223347136 335689408 446694272 671378816 875939549 893388544 1342757632 1751879098 1786777088 2685515264 3503758196 7007516392 14015032784 28030065568 56060131136 112120262272 224240524544 448481049088