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54676074145728 = 2637212745761083
BaseRepresentation
bin11000110111010010000111…
…11110100010011111000000
321011120222111121122000221010
430123221003332202133000
524131303044440130403
6312141501450400520
714342134042021500
oct1433510376423700
9234528447560833
1054676074145728
111646aaa14a8972
12617070a730140
132467c15b4cb09
14d7049c3d3a00
1564c3b447a603
hex31ba43fa27c0

54676074145728 has 168 divisors, whose sum is σ = 169607417382912. Its totient is φ = 15498729340416.

The previous prime is 54676074145723. The next prime is 54676074145729. The reversal of 54676074145728 is 82754147067645.

It is a happy number.

54676074145728 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 (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54676074145723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21685726 + ... + 24075357.

Almost surely, 254676074145728 is an apocalyptic number.

It is an amenable number.

54676074145728 is an abundant number, since it is smaller than the sum of its proper divisors (114931343237184).

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

54676074145728 is a wasteful number, since it uses less digits than its factorization.

54676074145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45761239 (or 45761222 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 66.

The spelling of 54676074145728 in words is "fifty-four trillion, six hundred seventy-six billion, seventy-four million, one hundred forty-five thousand, seven hundred twenty-eight".