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44355729665 = 5134189187009
BaseRepresentation
bin101001010011110011…
…101011100100000001
311020111020010112022102
4221103303223210001
51211320031322130
632213213120145
73130114324052
oct512363534401
9136436115272
1044355729665
11178a1720225
12871a789055
13424b5b50b0
14220ac80729
1512490c8645
hexa53ceb901

44355729665 has 32 divisors (see below), whose sum is σ = 59379415200. Its totient is φ = 31596871680.

The previous prime is 44355729637. The next prime is 44355729667. The reversal of 44355729665 is 56692755344.

It is a Cunningham number, because it is equal to 2106082+1.

It can be written as a sum of positive squares in 16 ways, for example, as 29544109456 + 14811620209 = 171884^2 + 121703^2 .

It is not a de Polignac number, because 44355729665 - 26 = 44355729601 is a prime.

It is a super-2 number, since 2×443557296652 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 44355729665.

It is not an unprimeable number, because it can be changed into a prime (44355729667) by changing a digit.

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, 143681 + ... + 330689.

It is an arithmetic number, because the mean of its divisors is an integer number (1855606725).

Almost surely, 244355729665 is an apocalyptic number.

It is an amenable number.

44355729665 is a deficient number, since it is larger than the sum of its proper divisors (15023685535).

44355729665 is a wasteful number, since it uses less digits than its factorization.

44355729665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187157.

The product of its digits is 27216000, while the sum is 56.

The spelling of 44355729665 in words is "forty-four billion, three hundred fifty-five million, seven hundred twenty-nine thousand, six hundred sixty-five".

Divisors: 1 5 13 41 65 89 205 445 533 1157 2665 3649 5785 18245 47437 187009 237185 935045 2431117 7667369 12155585 16643801 38336845 83219005 99675797 216369413 498378985 682395841 1081847065 3411979205 8871145933 44355729665