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44482280801 = 7217531007549
BaseRepresentation
bin101001011011010110…
…011011110101100001
311020211001020222211112
4221123112123311201
51212044430441201
632233533353105
73133212101600
oct513326336541
9136731228745
1044482280801
11179570a6a42
128755038795
13426b893b1a
14221d9c3a37
1512552750bb
hexa5b59bd61

44482280801 has 24 divisors (see below), whose sum is σ = 55822300200. Its totient is φ = 35207757312.

The previous prime is 44482280789. The next prime is 44482280803. The reversal of 44482280801 is 10808228444.

It can be written as a sum of positive squares in 4 ways, for example, as 14381765776 + 30100515025 = 119924^2 + 173495^2 .

It is not a de Polignac number, because 44482280801 - 214 = 44482264417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44482280803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459626 + ... + 547923.

It is an arithmetic number, because the mean of its divisors is an integer number (2325929175).

Almost surely, 244482280801 is an apocalyptic number.

It is an amenable number.

44482280801 is a deficient number, since it is larger than the sum of its proper divisors (11340019399).

44482280801 is a wasteful number, since it uses less digits than its factorization.

44482280801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007633 (or 1007626 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 41.

The spelling of 44482280801 in words is "forty-four billion, four hundred eighty-two million, two hundred eighty thousand, eight hundred one".

Divisors: 1 7 17 49 53 119 371 833 901 2597 6307 44149 1007549 7052843 17128333 49369901 53400097 119898331 373800679 839288317 907801649 2616604753 6354611543 44482280801