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44075527272 = 2334729477129
BaseRepresentation
bin101001000011000110…
…110010110001101000
311012202200212202220000
4221003012302301220
51210231313333042
632125323303000
73120142541340
oct510306626150
9135680782800
1044075527272
1117768538aa7
12866097aa60
13420552956a
1421c1981d20
15122e6ca74c
hexa431b2c68

44075527272 has 320 divisors, whose sum is σ = 149079744000. Its totient is φ = 11898399744.

The previous prime is 44075527211. The next prime is 44075527273. The reversal of 44075527272 is 27272557044.

44075527272 is a `hidden beast` number, since 440 + 75 + 5 + 2 + 72 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (44075527273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6179004 + ... + 6186132.

It is an arithmetic number, because the mean of its divisors is an integer number (465874200).

Almost surely, 244075527272 is an apocalyptic number.

44075527272 is a gapful number since it is divisible by the number (42) 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 44075527272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74539872000).

44075527272 is an abundant number, since it is smaller than the sum of its proper divisors (105004216728).

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

44075527272 is a wasteful number, since it uses less digits than its factorization.

44075527272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 44075527272 in words is "forty-four billion, seventy-five million, five hundred twenty-seven thousand, two hundred seventy-two".