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45505312608 = 253767716239
BaseRepresentation
bin101010011000010100…
…111111011101100000
311100110100021101122110
4222120110333131200
51221143330000413
632523240435320
73200443526610
oct523024773540
9140410241573
1045505312608
1118331620978
12899b778b40
1343a28063a2
1422b9808a40
1512b4ea58c3
hexa9853f760

45505312608 has 48 divisors (see below), whose sum is σ = 136515939840. Its totient is φ = 13001517696.

The previous prime is 45505312543. The next prime is 45505312609. The reversal of 45505312608 is 80621350554.

45505312608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45505312609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33857448 + ... + 33858791.

It is an arithmetic number, because the mean of its divisors is an integer number (2844082080).

Almost surely, 245505312608 is an apocalyptic number.

45505312608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45505312608 is an abundant number, since it is smaller than the sum of its proper divisors (91010627232).

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

45505312608 is a wasteful number, since it uses less digits than its factorization.

45505312608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67716259 (or 67716251 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 45505312608 in words is "forty-five billion, five hundred five million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 67716239 135432478 203148717 270864956 406297434 474013673 541729912 812594868 948027346 1083459824 1422041019 1625189736 1896054692 2166919648 2844082038 3250379472 3792109384 5688164076 6500758944 7584218768 11376328152 15168437536 22752656304 45505312608