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43328590848 = 2103323611117
BaseRepresentation
bin101000010110100101…
…011101010000000000
311010211122101110202000
4220112211131100000
51202214104401343
631523242024000
73062502642204
oct502645352000
9133748343660
1043328590848
1117414950674
1284927a8000
13411686534a
1421506aab04
1511d8d35ed3
hexa1695d400

43328590848 has 352 divisors, whose sum is σ = 136214257920. Its totient is φ = 13576273920.

The previous prime is 43328590843. The next prime is 43328590861. The reversal of 43328590848 is 84809582334.

43328590848 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 8 + 590 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 43328590794 and 43328590803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43328590843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38789586 + ... + 38790702.

Almost surely, 243328590848 is an apocalyptic number.

43328590848 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 43328590848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68107128960).

43328590848 is an abundant number, since it is smaller than the sum of its proper divisors (92885667072).

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

43328590848 is a wasteful number, since it uses less digits than its factorization.

43328590848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 43328590848 in words is "forty-three billion, three hundred twenty-eight million, five hundred ninety thousand, eight hundred forty-eight".