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44944488960 = 293572573253
BaseRepresentation
bin101001110110111001…
…100111101000000000
311022000020222121020020
4221312321213220000
51214021242121320
632351444213440
73150523565340
oct516671475000
9138006877206
1044944488960
1118073aa0858
12886399a280
134313576487
14226513cd20
151280b25940
hexa76e67a00

44944488960 has 320 divisors, whose sum is σ = 164897517312. Its totient is φ = 10229907456.

The previous prime is 44944488917. The next prime is 44944488977. The reversal of 44944488960 is 6988444944.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 44944488894 and 44944488903.

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 31 ways as a sum of consecutive naturals, for example, 13814694 + ... + 13817946.

Almost surely, 244944488960 is an apocalyptic number.

44944488960 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 44944488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82448758656).

44944488960 is an abundant number, since it is smaller than the sum of its proper divisors (119953028352).

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

44944488960 is a wasteful number, since it uses less digits than its factorization.

44944488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 44944488960 in words is "forty-four billion, nine hundred forty-four million, four hundred eighty-eight thousand, nine hundred sixty".