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45444540106 = 2726754712653
BaseRepresentation
bin101010010100101101…
…001010011011001010
311100022002220211110001
4222110231022123022
51221032300240411
632513230113214
73166105134400
oct522455123312
9140262824401
1045444540106
1118300292669
12898334b80a
134393048924
1422b1709470
1512ae99ddc1
hexa94b4a6ca

45444540106 has 48 divisors (see below), whose sum is σ = 80633110176. Its totient is φ = 19148953824.

The previous prime is 45444540101. The next prime is 45444540143. The reversal of 45444540106 is 60104544454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45444540101) 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, 3585276 + ... + 3597928.

It is an arithmetic number, because the mean of its divisors is an integer number (1679856462).

Almost surely, 245444540106 is an apocalyptic number.

45444540106 is a deficient number, since it is larger than the sum of its proper divisors (35188570070).

45444540106 is a wasteful number, since it uses less digits than its factorization.

45444540106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13283 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 45444540106 in words is "forty-five billion, four hundred forty-four million, five hundred forty thousand, one hundred six".

Divisors: 1 2 7 14 49 67 98 134 469 547 938 1094 3283 3829 6566 7658 12653 25306 26803 36649 53606 73298 88571 177142 256543 513086 619997 847751 1239994 1695502 1795801 3591602 5934257 6921191 11868514 13842382 41539799 48448337 83079598 96896674 339138359 463719797 678276718 927439594 3246038579 6492077158 22722270053 45444540106