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45404013044052 = 22321397017121889
BaseRepresentation
bin10100101001011011100100…
…00100011010000101010100
312221202120200201212021020200
422110231302010122011110
521422344404314402202
6240322152102300500
712364221525031605
oct1224556204320524
9187676621767220
1045404013044052
1113515808757363
125113728127730
131c44770507a30
14b2d7ccdb1dac
1553b0e12d6e1c
hex294b7211a154

45404013044052 has 36 divisors (see below), whose sum is σ = 123599813287860. Its totient is φ = 13970465551872.

The previous prime is 45404013044017. The next prime is 45404013044081. The reversal of 45404013044052 is 25044031040454.

45404013044052 is a `hidden beast` number, since 4 + 5 + 40 + 40 + 130 + 440 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26159174076816 + 19244838967236 = 5114604^2 + 4386894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45404013043998 and 45404013044016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48508560477 + ... + 48508561412.

It is an arithmetic number, because the mean of its divisors is an integer number (3433328146885).

Almost surely, 245404013044052 is an apocalyptic number.

It is an amenable number.

45404013044052 is an abundant number, since it is smaller than the sum of its proper divisors (78195800243808).

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

45404013044052 is a wasteful number, since it uses less digits than its factorization.

45404013044052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97017121912 (or 97017121907 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 45404013044052 in words is "forty-five trillion, four hundred four billion, thirteen million, forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 97017121889 194034243778 291051365667 388068487556 582102731334 873154097001 1164205462668 1261222584557 1746308194002 2522445169114 3492616388004 3783667753671 5044890338228 7567335507342 11351003261013 15134671014684 22702006522026 45404013044052