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54666771840 = 27325371791433
BaseRepresentation
bin110010111010011001…
…001011110110000000
312020002211011202002100
4302322121023312000
51343424143144330
641040310350400
73643456615362
oct627231136600
9166084152070
1054666771840
1121202a7088a
12a71795b400
135202868395
14290844cd32
15164e427060
hexcba64bd80

54666771840 has 384 divisors, whose sum is σ = 195092258400. Its totient is φ = 14094729216.

The previous prime is 54666771839. The next prime is 54666771847. The reversal of 54666771840 is 4817766645.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54666771847) 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 47 ways as a sum of consecutive naturals, for example, 38147764 + ... + 38149196.

Almost surely, 254666771840 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 54666771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97546129200).

54666771840 is an abundant number, since it is smaller than the sum of its proper divisors (140425486560).

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

54666771840 is a wasteful number, since it uses less digits than its factorization.

54666771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 54666771840 in words is "fifty-four billion, six hundred sixty-six million, seven hundred seventy-one thousand, eight hundred forty".