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10680569116996 = 2217219250592
BaseRepresentation
bin1001101101101100001110…
…0001110011100101000100
31101211001102020002112001211
42123123003201303211010
52344442301143220441
634414330303101204
72151434313366202
oct233330341634504
941731366075054
1010680569116996
113448670908719
121245b70ba1804
135c6233ac254c
1428cd29976072
15137c5d1eba81
hex9b6c3873944

10680569116996 has 81 divisors (see below), whose sum is σ = 20959291816029. Its totient is φ = 4760674736256.

The previous prime is 10680569116951. The next prime is 10680569117059. The reversal of 10680569116996 is 69961196508601.

The square root of 10680569116996 is 3268114.

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

It can be written as a sum of positive squares in only one way, i.e., 8315321976900 + 2365247140096 = 2883630^2 + 1537936^2 .

It is a super-2 number, since 2×106805691169962 (a number of 27 digits) contains 22 as substring.

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, 2111199115 + ... + 2111204173.

Almost surely, 210680569116996 is an apocalyptic number.

10680569116996 is the 3268114-th square number.

It is an amenable number.

10680569116996 is a deficient number, since it is larger than the sum of its proper divisors (10278722699033).

10680569116996 is an frugal number, since it uses more digits than its factorization.

10680569116996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 67.

The spelling of 10680569116996 in words is "ten trillion, six hundred eighty billion, five hundred sixty-nine million, one hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 4 17 19 34 38 68 76 289 323 361 578 646 722 1156 1292 1444 5059 5491 6137 10118 10982 12274 20236 21964 24548 86003 96121 104329 172006 192242 208658 344012 384484 417316 1462051 1634057 1826299 2924102 3268114 3652598 5848204 6536228 7305196 25593481 27778969 31047083 51186962 55557938 62094166 102373924 111115876 124188332 435089177 486276139 527800411 870178354 972552278 1055600822 1740356708 1945104556 2111201644 7396516009 8266694363 9239246641 14793032018 16533388726 18478493282 29586064036 33066777452 36956986564 140533804171 157067192897 281067608342 314134385794 562135216684 628268771588 2670142279249 5340284558498 10680569116996