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45032823054 = 232113116319037
BaseRepresentation
bin101001111100001010…
…100101100100001110
311022020102012102211100
4221330022211210032
51214211400314204
632404321403530
73152645452212
oct517412454416
9138212172740
1045032823054
111810994453a
1288894995a6
13432896407b
142272b74942
151288773a39
hexa7c2a590e

45032823054 has 48 divisors (see below), whose sum is σ = 98524391472. Its totient is φ = 14864527104.

The previous prime is 45032823053. The next prime is 45032823083.

45032823054 is a `hidden beast` number, since 4 + 50 + 328 + 230 + 54 = 666.

45032823054 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45032823053) 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 23 ways as a sum of consecutive naturals, for example, 2356024 + ... + 2375060.

It is an arithmetic number, because the mean of its divisors is an integer number (2052591489).

Almost surely, 245032823054 is an apocalyptic number.

45032823054 is an abundant number, since it is smaller than the sum of its proper divisors (53491568418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45032823054 is a wasteful number, since it uses less digits than its factorization.

45032823054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20321 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45032823054 in words is "forty-five billion, thirty-two million, eight hundred twenty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 1163 2034 2326 3489 6978 10467 19037 20934 38074 57111 114222 131419 171333 262838 342666 394257 788514 1182771 2151181 2365542 4302362 6453543 12907086 19360629 22140031 38721258 44280062 66420093 132840186 199260279 398520558 2501823503 5003647006 7505470509 15010941018 22516411527 45032823054