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45041142663 = 33111511576397
BaseRepresentation
bin101001111100101010…
…010100101110000111
311022020222212010012000
4221330222110232013
51214221013031123
632405220000343
73153106252506
oct517452245607
9138228763160
1045041142663
1118113607150
1288902300b3
13432a5b7b0a
142273cdc83d
151289368b43
hexa7ca94b87

45041142663 has 64 divisors (see below), whose sum is σ = 73754096640. Its totient is φ = 26939952000.

The previous prime is 45041142649. The next prime is 45041142667. The reversal of 45041142663 is 36624114054.

45041142663 is a `hidden beast` number, since 4 + 504 + 1 + 142 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 45041142663 - 26 = 45041142599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45041142667) 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 63 ways as a sum of consecutive naturals, for example, 7037781 + ... + 7044177.

It is an arithmetic number, because the mean of its divisors is an integer number (1152407760).

Almost surely, 245041142663 is an apocalyptic number.

45041142663 is a deficient number, since it is larger than the sum of its proper divisors (28712953977).

45041142663 is a wasteful number, since it uses less digits than its factorization.

45041142663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45041142663 in words is "forty-five billion, forty-one million, one hundred forty-two thousand, six hundred sixty-three".

Divisors: 1 3 9 11 27 33 99 151 157 297 453 471 1359 1413 1661 1727 4077 4239 4983 5181 6397 14949 15543 19191 23707 44847 46629 57573 70367 71121 172719 211101 213363 260777 633303 640089 782331 965947 1004329 1899909 2346993 2897841 3012987 7040979 8693523 9038961 10625417 11047619 26080569 27116883 31876251 33142857 95628753 99428571 151653679 286886259 298285713 454961037 1364883111 1668190469 4094649333 5004571407 15013714221 45041142663