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9968896910736 = 2432107224592
BaseRepresentation
bin1001000100010001000010…
…0011110010010110010000
31022022000110120021121110100
42101010100203302112100
52301312300102120421
633111351545532400
72046141362424621
oct221042043622620
938260416247410
109968896910736
1131a3870465775
1211500574a4100
135740a83a05aa
142666d63bda48
151244a9572c26
hex911108f2590

9968896910736 has 135 divisors (see below), whose sum is σ = 28173698782411. Its totient is φ = 3290571164352.

The previous prime is 9968896910717. The next prime is 9968896910759. The reversal of 9968896910736 is 6370196988699.

The square root of 9968896910736 is 3157356.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4054043875 + ... + 4054046333.

Almost surely, 29968896910736 is an apocalyptic number.

9968896910736 is the 3157356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9968896910736

9968896910736 is an abundant number, since it is smaller than the sum of its proper divisors (18204801871675).

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

9968896910736 is an equidigital number, since it uses as much as digits as its factorization.

9968896910736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 81.

Multiplying 9968896910736 by its sum of digits (81), we get a square (807480649769616 = 284162042).

The spelling of 9968896910736 in words is "nine trillion, nine hundred sixty-eight billion, eight hundred ninety-six million, nine hundred ten thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2459 2568 3852 4918 5136 7377 7704 9836 11449 14754 15408 19672 22131 22898 29508 34347 39344 44262 45796 59016 68694 88524 91592 103041 118032 137388 177048 183184 206082 263113 274776 354096 412164 526226 549552 789339 824328 1052452 1578678 1648656 2104904 2368017 3157356 4209808 4736034 6046681 6314712 9472068 12093362 12629424 18140043 18944136 24186724 28153091 36280086 37888272 48373448 54420129 56306182 72560172 84459273 96746896 108840258 112612364 145120344 168918546 217680516 225224728 253377819 290240688 337837092 435361032 450449456 506755638 646994867 675674184 870722064 1013511276 1293989734 1351348368 1940984601 2027022552 2587979468 3881969202 4054045104 5175958936 5822953803 7763938404 10351917872 11645907606 15527876808 23291815212 31055753616 46583630424 69228450769 93167260848 138456901538 207685352307 276913803076 415370704614 553827606152 623056056921 830741409228 1107655212304 1246112113842 1661482818456 2492224227684 3322965636912 4984448455368 9968896910736