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104320526016 = 2637503154313
BaseRepresentation
bin110000100100111111…
…1001110011011000000
3100222021021110210201210
41201021333032123000
53202122023313031
6115531342530120
710352105561160
oct1411177163300
9328237423653
10104320526016
1140273243263
1218274896940
139ab6967905
145098bac5a0
152aa86c5746
hex1849fce6c0

104320526016 has 112 divisors (see below), whose sum is σ = 316074576384. Its totient is φ = 29746415616.

The previous prime is 104320525999. The next prime is 104320526017. The reversal of 104320526016 is 610625023401.

104320526016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (104320526017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598876 + ... + 753188.

It is an arithmetic number, because the mean of its divisors is an integer number (2822094432).

Almost surely, 2104320526016 is an apocalyptic number.

104320526016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104320526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158037288192).

104320526016 is an abundant number, since it is smaller than the sum of its proper divisors (211754050368).

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

104320526016 is a wasteful number, since it uses less digits than its factorization.

104320526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154838 (or 154828 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 104320526016 its reverse (610625023401), we get a palindrome (714945549417).

The spelling of 104320526016 in words is "one hundred four billion, three hundred twenty million, five hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 503 672 1006 1344 1509 2012 3018 3521 4024 6036 7042 8048 10563 12072 14084 16096 21126 24144 28168 32192 42252 48288 56336 84504 96576 112672 154313 169008 225344 308626 338016 462939 617252 676032 925878 1080191 1234504 1851756 2160382 2469008 3240573 3703512 4320764 4938016 6481146 7407024 8641528 9876032 12962292 14814048 17283056 25924584 29628096 34566112 51849168 69132224 77619439 103698336 155238878 207396672 232858317 310477756 465716634 543336073 620955512 931433268 1086672146 1241911024 1630008219 1862866536 2173344292 2483822048 3260016438 3725733072 4346688584 4967644096 6520032876 7451466144 8693377168 13040065752 14902932288 17386754336 26080131504 34773508672 52160263008 104320526016