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54943216272 = 24347417657
BaseRepresentation
bin110011001010110111…
…101111001010010000
312020211002100120120000
4303022313233022100
51400010430410042
641123543450000
73653354430000
oct631267571220
9166732316500
1054943216272
112133501665a
12a794456900
135247c09579
142933050000
15166883174c
hexccadef290

54943216272 has 250 divisors, whose sum is σ = 185524677558. Its totient is φ = 15697172736.

The previous prime is 54943216271. The next prime is 54943216291. The reversal of 54943216272 is 27261234945.

54943216272 is a `hidden beast` number, since 5 + 494 + 32 + 1 + 62 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36970060176 + 17973156096 = 192276^2 + 134064^2 .

It is not an unprimeable number, because it can be changed into a prime (54943216271) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 3102868 + ... + 3120524.

Almost surely, 254943216272 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 54943216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92762338779).

54943216272 is an abundant number, since it is smaller than the sum of its proper divisors (130581461286).

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

54943216272 is an equidigital number, since it uses as much as digits as its factorization.

54943216272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17705 (or 17669 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 54943216272 in words is "fifty-four billion, nine hundred forty-three million, two hundred sixteen thousand, two hundred seventy-two".