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44489980080 = 24335713223757
BaseRepresentation
bin101001011011110011…
…110011100010110000
311020211120202011021000
4221123303303202300
51212103413330310
632234410402000
73133334406510
oct513363634260
9136746664230
1044489980080
1117960485587
128757730300
13427035b400
142220a29840
151255c964c0
hexa5bcf38b0

44489980080 has 960 divisors, whose sum is σ = 198150174720. Its totient is φ = 8966909952.

The previous prime is 44489980079. The next prime is 44489980123. The reversal of 44489980080 is 8008998444.

44489980080 is a `hidden beast` number, since 4 + 4 + 489 + 9 + 80 + 0 + 80 = 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 = 44489979999 and 44489980026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58771062 + ... + 58771818.

It is an arithmetic number, because the mean of its divisors is an integer number (206406432).

Almost surely, 244489980080 is an apocalyptic number.

44489980080 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 44489980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99075087360).

44489980080 is an abundant number, since it is smaller than the sum of its proper divisors (153660194640).

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

44489980080 is a wasteful number, since it uses less digits than its factorization.

44489980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 44489980080 in words is "forty-four billion, four hundred eighty-nine million, nine hundred eighty thousand, eighty".