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44465809920 = 293576731229
BaseRepresentation
bin101001011010010111…
…100110101000000000
311020202220021012000220
4221122113212220000
51212031221404140
632232144343040
73132622101540
oct513227465000
9136686235026
1044465809920
1117948877144
12874b614a80
134268347b3c
14221b737320
151253abebd0
hexa5a5e6a00

44465809920 has 320 divisors, whose sum is σ = 162832792320. Its totient is φ = 10140254208.

The previous prime is 44465809903. The next prime is 44465809931. The reversal of 44465809920 is 2990856444.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36179866 + ... + 36181094.

It is an arithmetic number, because the mean of its divisors is an integer number (508852476).

Almost surely, 244465809920 is an apocalyptic number.

44465809920 is a gapful number since it is divisible by the number (40) 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 44465809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81416396160).

44465809920 is an abundant number, since it is smaller than the sum of its proper divisors (118366982400).

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

44465809920 is a wasteful number, since it uses less digits than its factorization.

44465809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 44465809920 in words is "forty-four billion, four hundred sixty-five million, eight hundred nine thousand, nine hundred twenty".