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284955251344 = 24113211812
BaseRepresentation
bin1000010010110001010…
…10000001001010010000
31000020112000120121102221
410021120222001022100
514132042021020334
6334523455550424
726405312446351
oct4113052011220
91006460517387
10284955251344
11aa9378a0a25
1247286b2b414
1320b42c4577a
14db12dcdd28
15762b9aa8b4
hex4258a81290

284955251344 has 45 divisors (see below), whose sum is σ = 557501943739. Its totient is φ = 141097187840.

The previous prime is 284955251327. The next prime is 284955251377. The reversal of 284955251344 is 443152559482.

The square root of 284955251344 is 533812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7133491600 + 277821759744 = 84460^2 + 527088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 284955251291 and 284955251300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241282434 + ... + 241283614.

Almost surely, 2284955251344 is an apocalyptic number.

284955251344 is the 533812-nd square number.

It is an amenable number.

284955251344 is a deficient number, since it is larger than the sum of its proper divisors (272546692395).

284955251344 is an frugal number, since it uses more digits than its factorization.

284955251344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 1296 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 52.

The spelling of 284955251344 in words is "two hundred eighty-four billion, nine hundred fifty-five million, two hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 113 226 452 904 1181 1808 2362 4724 9448 12769 18896 25538 51076 102152 133453 204304 266906 533812 1067624 1394761 2135248 2789522 5579044 11158088 15080189 22316176 30160378 60320756 120641512 157607993 241283024 315215986 630431972 1260863944 2521727888 17809703209 35619406418 71238812836 142477625672 284955251344