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5486127372288 = 211322347275339
BaseRepresentation
bin100111111010101011010…
…1011000101100000000000
3201102110122122112100000100
41033311112223011200000
51204341042101403123
615400143033122400
71104234231150663
oct117652653054000
921373578470010
105486127372288
111825720973482
127472b8b59400
1330a45510b894
1414d75c3ab6da
1597a904d1643
hex4fd56ac5800

5486127372288 has 288 divisors, whose sum is σ = 16885699084800. Its totient is φ = 1711976792064.

The previous prime is 5486127372247. The next prime is 5486127372301. The reversal of 5486127372288 is 8822737216845.

5486127372288 is a `hidden beast` number, since 5 + 4 + 8 + 612 + 7 + 3 + 7 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19787323 + ... + 20062661.

It is an arithmetic number, because the mean of its divisors is an integer number (58630899600).

Almost surely, 25486127372288 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 5486127372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8442849542400).

5486127372288 is an abundant number, since it is smaller than the sum of its proper divisors (11399571712512).

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

5486127372288 is a wasteful number, since it uses less digits than its factorization.

5486127372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275437 (or 275414 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 5486127372288 in words is "five trillion, four hundred eighty-six billion, one hundred twenty-seven million, three hundred seventy-two thousand, two hundred eighty-eight".