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12352110465216 = 263174388008083
BaseRepresentation
bin1011001110111111001100…
…1010000001000011000000
31121201211221211001001011210
42303233303022001003000
53104334110234341331
642134251535210120
72413260545412414
oct263576312010300
947654854031153
1012352110465216
113a3255637a985
121475b08976940
136b7a505a15a2
14309bb9862d44
151664903a7446
hexb3bf32810c0

12352110465216 has 112 divisors (see below), whose sum is σ = 35408820484224. Its totient is φ = 3785051590656.

The previous prime is 12352110465157. The next prime is 12352110465221. The reversal of 12352110465216 is 61256401125321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43863690 + ... + 44144393.

Almost surely, 212352110465216 is an apocalyptic number.

12352110465216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12352110465216 is an abundant number, since it is smaller than the sum of its proper divisors (23056710019008).

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

12352110465216 is a wasteful number, since it uses less digits than its factorization.

12352110465216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88008158 (or 88008148 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 12352110465216 in words is "twelve trillion, three hundred fifty-two billion, one hundred ten million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2193 2752 2924 3264 4128 4386 5848 8256 8772 11696 17544 23392 35088 46784 70176 140352 88008083 176016166 264024249 352032332 528048498 704064664 1056096996 1408129328 1496137411 2112193992 2816258656 2992274822 3784347569 4224387984 4488412233 5632517312 5984549644 7568695138 8448775968 8976824466 11353042707 11969099288 15137390276 16897551936 17953648932 22706085414 23938198576 30274780552 35907297864 45412170828 47876397152 60549561104 64333908673 71814595728 90824341656 95752794304 121099122208 128667817346 143629191456 181648683312 193001726019 242198244416 257335634692 287258382912 363297366624 386003452038 514671269384 726594733248 772006904076 1029342538768 1544013808152 2058685077536 3088027616304 4117370155072 6176055232608 12352110465216