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12287243412028 = 221323412441102653
BaseRepresentation
bin1011001011001101100011…
…0001110110001000111100
31121111122112010020022121101
42302303120301312020330
53102303233303141103
642044403125142444
72405503226513314
oct262633061661074
947448463208541
1012287243412028
113a07a9963a812
121465424b5aa24
136b18b36c3690
143069c4838444
1516494570ea1d
hexb2cd8c7623c

12287243412028 has 96 divisors (see below), whose sum is σ = 24763278621312. Its totient is φ = 5289944985600.

The previous prime is 12287243411957. The next prime is 12287243412043. The reversal of 12287243412028 is 82021434278221.

12287243412028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119645550 + ... + 119748202.

It is an arithmetic number, because the mean of its divisors is an integer number (257950818972).

Almost surely, 212287243412028 is an apocalyptic number.

It is an amenable number.

12287243412028 is an abundant number, since it is smaller than the sum of its proper divisors (12476035209284).

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

12287243412028 is a wasteful number, since it uses less digits than its factorization.

12287243412028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105175 (or 105173 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 12287243412028 in words is "twelve trillion, two hundred eighty-seven billion, two hundred forty-three million, four hundred twelve thousand, twenty-eight".

Divisors: 1 2 4 13 23 26 41 46 52 82 92 164 299 533 598 943 1066 1196 1886 2132 2441 3772 4882 9764 12259 24518 31733 49036 56143 63466 100081 102653 112286 126932 200162 205306 224572 400324 410612 729859 1301053 1334489 1459718 2301863 2361019 2602106 2668978 2919436 4208773 4603726 4722038 5204212 5337956 8417546 9207452 9444076 16835092 29924219 30693247 54714049 59848438 61386494 96801779 109428098 119696876 122772988 193603558 218856196 250575973 387207116 501151946 1002303892 1258423127 2516846254 3257487649 5033692508 5763247379 6514975298 10273614893 11526494758 13029950596 20547229786 23052989516 41094459572 74922215927 133556993609 149844431854 236293142539 267113987218 299688863708 472586285078 534227974436 945172570156 3071810853007 6143621706014 12287243412028