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13847656907536 = 2461210121512
BaseRepresentation
bin1100100110000010100010…
…1010111100001100010000
31211000211020000112000021121
43021200220222330030100
53303340000132020121
645241305321532024
72626313563416664
oct311405052741420
954024200460247
1013847656907536
114459838353491
121677928344014
13795aa012235a
1435c3318328a4
15190321789141
hexc9828abc310

13847656907536 has 135 divisors (see below), whose sum is σ = 27733277142207. Its totient is φ = 6698239200000.

The previous prime is 13847656907503. The next prime is 13847656907587. The reversal of 13847656907536 is 63570965674831.

The square root of 13847656907536 is 3721244.

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 4494897936 + 13843162009600 = 67044^2 + 3720640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91706337061 + ... + 91706337211.

Almost surely, 213847656907536 is an apocalyptic number.

13847656907536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13847656907536 is the 3721244-th square number.

It is an amenable number.

13847656907536 is an abundant number, since it is smaller than the sum of its proper divisors (13885620234671).

13847656907536 is an frugal number, since it uses more digits than its factorization.

13847656907536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 70.

The spelling of 13847656907536 in words is "thirteen trillion, eight hundred forty-seven billion, six hundred fifty-six million, nine hundred seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 61 101 122 151 202 244 302 404 488 604 808 976 1208 1616 2416 3721 6161 7442 9211 10201 12322 14884 15251 18422 20402 22801 24644 29768 30502 36844 40804 45602 49288 59536 61004 73688 81608 91204 98576 122008 147376 163216 182408 244016 364816 375821 561871 622261 751642 930311 1123742 1244522 1390861 1503284 1540351 1860622 2247484 2302901 2489044 2781722 3006568 3080702 3721244 4494968 4605802 4978088 5563444 6013136 6161404 7442488 8989936 9211604 9956176 11126888 12322808 14884976 18423208 22253776 24645616 36846416 37957921 56748971 75915842 84842521 93961411 113497942 140476961 151831684 169685042 187922822 226995884 232593001 280953922 303663368 339370084 375845644 453991768 465186002 561907844 607326736 678740168 751691288 907983536 930372004 1123815688 1357480336 1503382576 1860744008 2247631376 3721488016 5731646071 8569094621 11463292142 14188173061 17138189242 22926584284 28376346122 34276378484 45853168568 56752692244 68552756968 91706337136 113505384488 137105513936 227010768976 865478556721 1730957113442 3461914226884 6923828453768 13847656907536