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45523312241 = 112735153777
BaseRepresentation
bin101010011001011001…
…101001111001110001
311100111121010212111112
4222121121221321301
51221212431442431
632525122323105
73201052524641
oct523131517161
9140447125445
1045523312241
11183407a5300
1289a57b9495
1343a6469164
1422bbd72521
1512b685dc2b
hexa99669e71

45523312241 has 12 divisors (see below), whose sum is σ = 50723483076. Its totient is φ = 40817905920.

The previous prime is 45523312229. The next prime is 45523312253. The reversal of 45523312241 is 14221332554.

It is an interprime number because it is at equal distance from previous prime (45523312229) and next prime (45523312253).

It can be written as a sum of positive squares in 2 ways, for example, as 19713283216 + 25810029025 = 140404^2 + 160655^2 .

It is a de Polignac number, because none of the positive numbers 2k-45523312241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45523312198 and 45523312207.

It is not an unprimeable number, because it can be changed into a prime (45523312201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2568056 + ... + 2585721.

It is an arithmetic number, because the mean of its divisors is an integer number (4226956923).

Almost surely, 245523312241 is an apocalyptic number.

It is an amenable number.

45523312241 is a deficient number, since it is larger than the sum of its proper divisors (5200170835).

45523312241 is a wasteful number, since it uses less digits than its factorization.

45523312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153872 (or 5153861 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

Adding to 45523312241 its reverse (14221332554), we get a palindrome (59744644795).

The spelling of 45523312241 in words is "forty-five billion, five hundred twenty-three million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 11 73 121 803 8833 5153777 56691547 376225721 623607017 4138482931 45523312241