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44991924769 = 11417532
BaseRepresentation
bin101001111001101110…
…100100101000100001
311022010120020120221001
4221321232210220201
51214120413043034
632400301032001
73151641023221
oct517156445041
9138116216831
1044991924769
1118098850000
128877855601
1343203446bc
14226b56a081
151284d95a14
hexa79ba4a21

44991924769 has 15 divisors (see below), whose sum is σ = 49519058115. Its totient is φ = 40878417360.

The previous prime is 44991924763. The next prime is 44991924797. The reversal of 44991924769 is 96742919944.

The square root of 44991924769 is 212113.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1274133025 + 43717791744 = 35695^2 + 209088^2 .

It is not a de Polignac number, because 44991924769 - 25 = 44991924737 is a prime.

It is a super-2 number, since 2×449919247692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 44991924769.

It is not an unprimeable number, because it can be changed into a prime (44991924763) 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 14 ways as a sum of consecutive naturals, for example, 25664797 + ... + 25666549.

It is an arithmetic number, because the mean of its divisors is an integer number (3301270541).

Almost surely, 244991924769 is an apocalyptic number.

44991924769 is the 212113-rd square number.

44991924769 is the 106057-th centered octagonal number.

It is an amenable number.

44991924769 is a deficient number, since it is larger than the sum of its proper divisors (4527133346).

44991924769 is an frugal number, since it uses more digits than its factorization.

44991924769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 1764 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 64.

Multiplying 44991924769 by its sum of digits (64), we get a square (2879483185216 = 16969042).

The spelling of 44991924769 in words is "forty-four billion, nine hundred ninety-one million, nine hundred twenty-four thousand, seven hundred sixty-nine".

Divisors: 1 11 121 1331 1753 14641 19283 212113 2333243 3073009 25665673 33803099 371834089 4090174979 44991924769