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45931864096 = 254001358753
BaseRepresentation
bin101010110001110000…
…001010000000100000
311101120001220110021201
4222301300022000200
51223032024122341
633033435130544
73214143255136
oct526160120040
9141501813251
1045931864096
1118530381368
128a9a5a3a54
13443ccb3111
14231a321756
1512dc661331
hexab1c0a020

45931864096 has 24 divisors (see below), whose sum is σ = 90451211004. Its totient is φ = 22960128000.

The previous prime is 45931864093. The next prime is 45931864109. The reversal of 45931864096 is 69046813954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30646003600 + 15285860496 = 175060^2 + 123636^2 .

It is a super-2 number, since 2×459318640962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45931864093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51345 + ... + 307408.

Almost surely, 245931864096 is an apocalyptic number.

It is an amenable number.

45931864096 is a deficient number, since it is larger than the sum of its proper divisors (44519346908).

45931864096 is a wasteful number, since it uses less digits than its factorization.

45931864096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362764 (or 362756 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

It can be divided in two parts, 4593 and 1864096, that added together give a square (1868689 = 13672).

The spelling of 45931864096 in words is "forty-five billion, nine hundred thirty-one million, eight hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 4001 8002 16004 32008 64016 128032 358753 717506 1435012 2870024 5740048 11480096 1435370753 2870741506 5741483012 11482966024 22965932048 45931864096