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48049827471360 = 2133751131331
BaseRepresentation
bin10101110110011011110001…
…11001011110000000000000
320022010112000002111020000000
422323031320321132000000
522244222021313040420
6250105441440000000
713056325342425621
oct1273157071360000
9208115002436000
1048049827471360
11143458a9a51000
125480466000000
1320a7105272390
14bc18a45b7a48
15584d462e7690
hex2bb378e5e000

48049827471360 has 3584 divisors, whose sum is σ = 211464571207680. Its totient is φ = 10405557043200.

The previous prime is 48049827471341. The next prime is 48049827471383. The reversal of 48049827471360 is 6317472894084.

48049827471360 is a `hidden beast` number, since 4 + 8 + 0 + 498 + 2 + 7 + 4 + 7 + 136 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1549994434545 + ... + 1549994434575.

It is an arithmetic number, because the mean of its divisors is an integer number (59002391520).

Almost surely, 248049827471360 is an apocalyptic number.

48049827471360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48049827471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105732285603840).

48049827471360 is an abundant number, since it is smaller than the sum of its proper divisors (163414743736320).

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

48049827471360 is an frugal number, since it uses more digits than its factorization.

48049827471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 48049827471360 in words is "forty-eight trillion, forty-nine billion, eight hundred twenty-seven million, four hundred seventy-one thousand, three hundred sixty".