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448800882864 = 24338924036037
BaseRepresentation
bin1101000011111101001…
…11100000000010110000
31120220102201001002010220
412201332213200002300
524323121011222424
6542102024253040
744265463363305
oct6417647400260
91526381032126
10448800882864
11163376441a54
1272b92611180
1333424b356a9
1417a175530ac
15ba1ad79579
hex687e9e00b0

448800882864 has 40 divisors (see below), whose sum is σ = 1162382797680. Its totient is φ = 149215711488.

The previous prime is 448800882857. The next prime is 448800882913. The reversal of 448800882864 is 468288008844.

It is a junction number, because it is equal to n+sod(n) for n = 448800882798 and 448800882807.

It is an unprimeable number.

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, 11999347 + ... + 12036690.

It is an arithmetic number, because the mean of its divisors is an integer number (29059569942).

Almost surely, 2448800882864 is an apocalyptic number.

It is an amenable number.

448800882864 is an abundant number, since it is smaller than the sum of its proper divisors (713581914816).

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

448800882864 is a wasteful number, since it uses less digits than its factorization.

448800882864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24036437 (or 24036431 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 60.

The spelling of 448800882864 in words is "four hundred forty-eight billion, eight hundred million, eight hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 389 778 1167 1556 2334 3112 4668 6224 9336 18672 24036037 48072074 72108111 96144148 144216222 192288296 288432444 384576592 576864888 1153729776 9350018393 18700036786 28050055179 37400073572 56100110358 74800147144 112200220716 149600294288 224400441432 448800882864