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448230371328 = 2123413110313
BaseRepresentation
bin1101000010111001001…
…11001011000000000000
31120211221221112002110000
412201130213023000000
524320433433340303
6541525244240000
744245365202335
oct6413447130000
91524857462400
10448230371328
111631033a5213
1272a53540000
1333363892cbc
14179a188498c
15b9d5c33da3
hex685c9cb000

448230371328 has 260 divisors, whose sum is σ = 1349346088728. Its totient is φ = 148255211520.

The previous prime is 448230371263. The next prime is 448230371339. The reversal of 448230371328 is 823173032844.

448230371328 is a `hidden beast` number, since 4 + 48 + 230 + 371 + 3 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43457500 + ... + 43467812.

Almost surely, 2448230371328 is an apocalyptic number.

448230371328 is a gapful number since it is divisible by the number (48) 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 448230371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674673044364).

448230371328 is an abundant number, since it is smaller than the sum of its proper divisors (901115717400).

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

448230371328 is a wasteful number, since it uses less digits than its factorization.

448230371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 448230371328 in words is "four hundred forty-eight billion, two hundred thirty million, three hundred seventy-one thousand, three hundred twenty-eight".