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104243536128 = 283795872927
BaseRepresentation
bin110000100010101100…
…1100010000100000000
3100222001220121022110110
41201011121202010000
53201442321124003
6115515552431320
710350152302644
oct1410531420400
9328056538413
10104243536128
1140233838656
1218252b48540
139aa3a1c674
14508c88ac24
152aa1a68a03
hex1845662100

104243536128 has 144 divisors (see below), whose sum is σ = 281526497280. Its totient is φ = 34237851648.

The previous prime is 104243536073. The next prime is 104243536139. The reversal of 104243536128 is 821635342401.

104243536128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35613001 + ... + 35615927.

It is an arithmetic number, because the mean of its divisors is an integer number (1955045120).

Almost surely, 2104243536128 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 104243536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140763248640).

104243536128 is an abundant number, since it is smaller than the sum of its proper divisors (177282961152).

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

104243536128 is an equidigital number, since it uses as much as digits as its factorization.

104243536128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 104243536128 its reverse (821635342401), we get a palindrome (925878878529).

The spelling of 104243536128 in words is "one hundred four billion, two hundred forty-three million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 587 632 768 948 1174 1264 1761 1896 2348 2528 2927 3522 3792 4696 5056 5854 7044 7584 8781 9392 10112 11708 14088 15168 17562 18784 20224 23416 28176 30336 35124 37568 46373 46832 56352 60672 70248 75136 92746 93664 112704 139119 140496 150272 185492 187328 225408 231233 278238 280992 370984 374656 450816 462466 556476 561984 693699 741968 749312 924932 1112952 1123968 1387398 1483936 1718149 1849864 2225904 2247936 2774796 2967872 3436298 3699728 4451808 5154447 5549592 5935744 6872596 7399456 8903616 10308894 11099184 11871488 13745192 14798912 17807232 20617788 22198368 27490384 29597824 35614464 41235576 44396736 54980768 59195648 82471152 88793472 109961536 135733771 164942304 177586944 219923072 271467542 329884608 407201313 439846144 542935084 659769216 814402626 1085870168 1319538432 1628805252 2171740336 3257610504 4343480672 6515221008 8686961344 13030442016 17373922688 26060884032 34747845376 52121768064 104243536128