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448324897384 = 2371331253107113
BaseRepresentation
bin1101000011000100011…
…11110000101001101000
31120212012112101111211001
412201202033300221220
524321132133204014
6541542502244344
744250623515450
oct6414217605150
91525175344731
10448324897384
11163151798021
1272a7b1266b4
133337a33b090
14179b024cd60
15b9de1a6974
hex68623f0a68

448324897384 has 384 divisors, whose sum is σ = 1109126027520. Its totient is φ = 165349416960.

The previous prime is 448324897369. The next prime is 448324897387. The reversal of 448324897384 is 483798423844.

It is a super-3 number, since 3×4483248973843 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (448324897387) 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 95 ways as a sum of consecutive naturals, for example, 3967476912 + ... + 3967477024.

It is an arithmetic number, because the mean of its divisors is an integer number (2888349030).

Almost surely, 2448324897384 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 448324897384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554563013760).

448324897384 is an abundant number, since it is smaller than the sum of its proper divisors (660801130136).

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

448324897384 is a wasteful number, since it uses less digits than its factorization.

448324897384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 326 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 64.

The spelling of 448324897384 in words is "four hundred forty-eight billion, three hundred twenty-four million, eight hundred ninety-seven thousand, three hundred eighty-four".