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448547483648 = 2121141242813
BaseRepresentation
bin1101000011011111000…
…00110111000000000000
31120212210001020001202202
412201233200313000000
524322111123434043
6542020533132332
744256265463135
oct6415740670000
91525701201682
10448547483648
111632563a7410
1272b2178a0a8
13333b44a2a24
14179d1a3058c
15ba039c31b8
hex686f837000

448547483648 has 104 divisors (see below), whose sum is σ = 1002400294896. Its totient is φ = 198911590400.

The previous prime is 448547483641. The next prime is 448547483651. The reversal of 448547483648 is 846384745844.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448547483641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725890 + ... + 1968702.

It is an arithmetic number, because the mean of its divisors is an integer number (9638464374).

Almost surely, 2448547483648 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 448547483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501200147448).

448547483648 is an abundant number, since it is smaller than the sum of its proper divisors (553852811248).

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

448547483648 is a wasteful number, since it uses less digits than its factorization.

448547483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242889 (or 242867 counting only the distinct ones).

The product of its digits is 330301440, while the sum is 65.

The spelling of 448547483648 in words is "four hundred forty-eight billion, five hundred forty-seven million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 512 656 704 902 1024 1312 1408 1804 2048 2624 2816 3608 4096 5248 5632 7216 10496 11264 14432 20992 22528 28864 41984 45056 57728 83968 115456 167936 230912 242813 461824 485626 923648 971252 1847296 1942504 2670943 3885008 5341886 7770016 9955333 10683772 15540032 19910666 21367544 31080064 39821332 42735088 62160128 79642664 85470176 109508663 124320256 159285328 170940352 219017326 248640512 318570656 341880704 438034652 497281024 637141312 683761408 876069304 994562048 1274282624 1367522816 1752138608 2548565248 2735045632 3504277216 5097130496 5470091264 7008554432 10194260992 10940182528 14017108864 20388521984 28034217728 40777043968 56068435456 112136870912 224273741824 448547483648