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8864050104648 = 2333157691378269
BaseRepresentation
bin1000000011111101001010…
…0011101100100101001000
31011101101122220002120201000
42000333102203230211020
52130212033311322043
630504031032255000
71603256265504234
oct200772243544510
934341586076630
108864050104648
11290824a220612
12bb1ab4541460
134c3b5141332b
142290453315c4
1510589332b2d3
hex80fd28ec948

8864050104648 has 128 divisors (see below), whose sum is σ = 24815117232000. Its totient is φ = 2931607261440.

The previous prime is 8864050104643. The next prime is 8864050104661. The reversal of 8864050104648 is 8464010504688.

It is a happy number.

8864050104648 is a `hidden beast` number, since 8 + 86 + 40 + 50 + 10 + 464 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8864050104594 and 8864050104603.

It is not an unprimeable number, because it can be changed into a prime (8864050104643) 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, 23244058 + ... + 23622326.

It is an arithmetic number, because the mean of its divisors is an integer number (193868103375).

Almost surely, 28864050104648 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 8864050104648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407558616000).

8864050104648 is an abundant number, since it is smaller than the sum of its proper divisors (15951067127352).

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

8864050104648 is a wasteful number, since it uses less digits than its factorization.

8864050104648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379132 (or 379122 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

It can be divided in two parts, 8864050 and 104648, that added together give a palindrome (8968698).

The spelling of 8864050104648 in words is "eight trillion, eight hundred sixty-four billion, fifty million, one hundred four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 691 942 1256 1382 1413 1884 2073 2764 2826 3768 4146 4239 5528 5652 6219 8292 8478 11304 12438 16584 16956 18657 24876 33912 37314 49752 74628 108487 149256 216974 325461 378269 433948 650922 756538 867896 976383 1134807 1301844 1513076 1952766 2269614 2603688 2929149 3026152 3404421 3905532 4539228 5858298 6808842 7811064 9078456 10213263 11716596 13617684 20426526 23433192 27235368 40853052 59388233 81706104 118776466 178164699 237552932 261383879 356329398 475105864 522767758 534494097 712658796 784151637 1045535516 1068988194 1425317592 1568303274 1603482291 2091071032 2137976388 2352454911 3136606548 3206964582 4275952776 4704909822 6273213096 6413929164 7057364733 9409819644 12827858328 14114729466 18819639288 28229458932 41037269003 56458917864 82074538006 123111807009 164149076012 246223614018 328298152024 369335421027 492447228036 738670842054 984894456072 1108006263081 1477341684108 2216012526162 2954683368216 4432025052324 8864050104648