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8126938307112 = 23317601109330323
BaseRepresentation
bin111011001000011001101…
…0001010101101000101000
31001202221001022012112102020
41312100303101111220220
52031122432201311422
625141244112304440
71466103051553242
oct166206321255050
931687038175366
108126938307112
112653684895169
12ab307b242120
1346c4a0393aa1
142014bb283092
15e16010ea95c
hex76433455a28

8126938307112 has 128 divisors (see below), whose sum is σ = 21568704312960. Its totient is φ = 2542972723200.

The previous prime is 8126938307093. The next prime is 8126938307119. The reversal of 8126938307112 is 2117038396218.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8126938307119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 267997183 + ... + 268027505.

It is an arithmetic number, because the mean of its divisors is an integer number (168505502445).

Almost surely, 28126938307112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8126938307112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784352156480).

8126938307112 is an abundant number, since it is smaller than the sum of its proper divisors (13441766005848).

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

8126938307112 is a wasteful number, since it uses less digits than its factorization.

8126938307112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32043 (or 32039 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 8126938307112 in words is "eight trillion, one hundred twenty-six billion, nine hundred thirty-eight million, three hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 601 1093 1202 1803 2186 2404 3279 3606 4372 4808 6558 7212 8744 10217 13116 14424 18581 20434 26232 30323 30651 37162 40868 55743 60646 61302 74324 81736 90969 111486 121292 122604 148648 181938 222972 242584 245208 363876 445944 515491 656893 727752 1030982 1313786 1546473 1970679 2061964 2627572 3092946 3941358 4123928 5255144 6185892 7882716 11167181 12371784 15765432 18224123 22334362 33143039 33501543 36448246 44668724 54672369 66286078 67003086 72896492 89337448 99429117 109344738 132572156 134006172 145792984 198858234 218689476 265144312 268012344 309810091 397716468 437378952 563431663 619620182 795432936 929430273 1126863326 1239240364 1690294989 1858860546 2253726652 2478480728 3380589978 3717721092 4507453304 6761179956 7435442184 13522359912 19918966439 39837932878 59756899317 79675865756 119513798634 159351731512 239027597268 338622429463 478055194536 677244858926 1015867288389 1354489717852 2031734576778 2708979435704 4063469153556 8126938307112