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52105443016 = 23112735991231
BaseRepresentation
bin110000100001101110…
…011111011011001000
311222111022120202110211
4300201232133123020
51323202443134031
635534212250504
73523135646404
oct604156373310
9158438522424
1052105443016
1120109189600
12a122010a34
134bb50151b3
1427441d6104
15154e634bb1
hexc21b9f6c8

52105443016 has 96 divisors (see below), whose sum is σ = 109128096000. Its totient is φ = 23301907200.

The previous prime is 52105442981. The next prime is 52105443017. The reversal of 52105443016 is 61034450125.

It is a happy number.

52105443016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52105443017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42327121 + ... + 42328351.

It is an arithmetic number, because the mean of its divisors is an integer number (1136751000).

Almost surely, 252105443016 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 52105443016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54564048000).

52105443016 is an abundant number, since it is smaller than the sum of its proper divisors (57022652984).

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

52105443016 is a wasteful number, since it uses less digits than its factorization.

52105443016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 52105443016 in words is "fifty-two billion, one hundred five million, four hundred forty-three thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 242 292 484 584 599 803 968 1198 1231 1606 2396 2462 3212 4792 4924 6424 6589 8833 9848 13178 13541 17666 26356 27082 35332 43727 52712 54164 70664 72479 87454 89863 108328 144958 148951 174908 179726 289916 297902 349816 359452 480997 579832 595804 718904 737369 961994 988493 1191608 1474738 1923988 1976986 2949476 3847976 3953972 5290967 5898952 7907944 8111059 10581934 10873423 16222118 21163868 21746846 32444236 42327736 43493692 53827937 64888472 86987384 89221649 107655874 178443298 215311748 356886596 430623496 592107307 713773192 1184214614 2368429228 4736858456 6513180377 13026360754 26052721508 52105443016