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12287013676224 = 263756489161839
BaseRepresentation
bin1011001011001100101100…
…0101011110010011000000
31121111121221002221112022220
42302303023011132103000
53102302301000114344
642044324241131040
72405464440010530
oct262631305362300
947447832845286
1012287013676224
113a07990997911
121465380029a80
136b1877c27731
143069a21154c0
1516493047ec19
hexb2ccb15e4c0

12287013676224 has 112 divisors (see below), whose sum is σ = 37154476262400. Its totient is φ = 3510491498496.

The previous prime is 12287013676219. The next prime is 12287013676337. The reversal of 12287013676224 is 42267631078221.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75840297 + ... + 76002135.

It is an arithmetic number, because the mean of its divisors is an integer number (331736395200).

Almost surely, 212287013676224 is an apocalyptic number.

12287013676224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12287013676224 is an abundant number, since it is smaller than the sum of its proper divisors (24867462586176).

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

12287013676224 is a wasteful number, since it uses less digits than its factorization.

12287013676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218350 (or 218340 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 12287013676224 in words is "twelve trillion, two hundred eighty-seven billion, thirteen million, six hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 56489 112978 161839 169467 225956 323678 338934 395423 451912 485517 647356 677868 790846 903824 971034 1132873 1186269 1294712 1355736 1581692 1807648 1942068 2265746 2372538 2589424 2711472 3163384 3398619 3615296 3884136 4531492 4745076 5178848 5422944 6326768 6797238 7768272 9062984 9490152 10357696 10845888 12653536 13594476 15536544 18125968 18980304 25307072 27188952 31073088 36251936 37960608 54377904 72503872 75921216 108755808 217511616 9142123271 18284246542 27426369813 36568493084 54852739626 63994862897 73136986168 109705479252 127989725794 146273972336 191984588691 219410958504 255979451588 292547944672 383969177382 438821917008 511958903176 585095889344 767938354764 877643834016 1023917806352 1535876709528 1755287668032 2047835612704 3071753419056 4095671225408 6143506838112 12287013676224