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54026743680 = 27325713591747
BaseRepresentation
bin110010010100001111…
…101010111110000000
312011110012211221111200
4302110033222332000
51341121321244210
640453004341200
73621555513150
oct622417527600
9164405757450
1054026743680
1120a04763198
12a579544800
1351300961b0
142887446760
15161314e0c0
hexc943eaf80

54026743680 has 768 divisors, whose sum is σ = 233639078400. Its totient is φ = 11199430656.

The previous prime is 54026743609. The next prime is 54026743681. The reversal of 54026743680 is 8634762045.

54026743680 is a `hidden beast` number, since 540 + 2 + 6 + 7 + 43 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54026743681) 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 95 ways as a sum of consecutive naturals, for example, 30924567 + ... + 30926313.

It is an arithmetic number, because the mean of its divisors is an integer number (304217550).

Almost surely, 254026743680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54026743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116819539200).

54026743680 is an abundant number, since it is smaller than the sum of its proper divisors (179612334720).

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

54026743680 is a wasteful number, since it uses less digits than its factorization.

54026743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54026743680 in words is "fifty-four billion, twenty-six million, seven hundred forty-three thousand, six hundred eighty".