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45133165440 = 27335111912497
BaseRepresentation
bin101010000010001001…
…010111001110000000
311022111102000100201000
4222002021113032000
51214413042243230
632422304212000
73155304401466
oct520211271600
9138442010630
1045133165440
111816054a230
1288b700a000
13434369766c
142282214836
151292494b60
hexa82257380

45133165440 has 512 divisors, whose sum is σ = 183570624000. Its totient is φ = 10364682240.

The previous prime is 45133165439. The next prime is 45133165447. The reversal of 45133165440 is 4456133154.

45133165440 is a `hidden beast` number, since 4 + 51 + 3 + 3 + 165 + 440 = 666.

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 = 45133165395 and 45133165404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45133165447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3605272 + ... + 3617768.

It is an arithmetic number, because the mean of its divisors is an integer number (358536375).

Almost surely, 245133165440 is an apocalyptic number.

45133165440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45133165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91785312000).

45133165440 is an abundant number, since it is smaller than the sum of its proper divisors (138437458560).

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

45133165440 is a wasteful number, since it uses less digits than its factorization.

45133165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 45133165440 its reverse (4456133154), we get a palindrome (49589298594).

The spelling of 45133165440 in words is "forty-five billion, one hundred thirty-three million, one hundred sixty-five thousand, four hundred forty".