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244284616903680 = 21033523612774547
BaseRepresentation
bin110111100010110011110001…
…110100001000110000000000
31012000221101021222011112112000
4313202303301310020300000
5224004324343411404210
62223314445335504000
7102311660351220603
oct6742636164106000
91160841258145460
10244284616903680
1170922584834341
1223493bb3b28000
13a63cc2c4612c2
14444761d51633a
151d3960bb8aac0
hexde2cf1d08c00

244284616903680 has 1408 divisors, whose sum is σ = 924266617436160. Its totient is φ = 61054109614080.

The previous prime is 244284616903669. The next prime is 244284616903697. The reversal of 244284616903680 is 86309616482442.

It is a happy number.

244284616903680 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 8 + 4 + 616 + 9 + 0 + 3 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53724347167 + ... + 53724351713.

Almost surely, 2244284616903680 is an apocalyptic number.

244284616903680 is a gapful number since it is divisible by the number (20) 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 244284616903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462133308718080).

244284616903680 is an abundant number, since it is smaller than the sum of its proper divisors (679982000532480).

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

244284616903680 is a wasteful number, since it uses less digits than its factorization.

244284616903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 244284616903680 in words is "two hundred forty-four trillion, two hundred eighty-four billion, six hundred sixteen million, nine hundred three thousand, six hundred eighty".