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68564372838096 = 24389487283311633
BaseRepresentation
bin11111001011011111000110…
…00101100101011011010000
322222202200122000211121222210
433211233203011211123100
532441324313421304341
6401454012115032120
720304420035062212
oct1745574305453320
9288680560747883
1068564372838096
111a934a94aa7883
12783429989b640
132c34791c90355
1412d07677365b2
157dd7b3c1ec16
hex3e5be31656d0

68564372838096 has 160 divisors (see below), whose sum is σ = 179561374836480. Its totient is φ = 22541694861312.

The previous prime is 68564372838083. The next prime is 68564372838103. The reversal of 68564372838096 is 69083827346586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5893948696 + ... + 5893960328.

It is an arithmetic number, because the mean of its divisors is an integer number (1122258592728).

Almost surely, 268564372838096 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 68564372838096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89780687418240).

68564372838096 is an abundant number, since it is smaller than the sum of its proper divisors (110997001998384).

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

68564372838096 is a wasteful number, since it uses less digits than its factorization.

68564372838096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 75.

The spelling of 68564372838096 in words is "sixty-eight trillion, five hundred sixty-four billion, three hundred seventy-two million, eight hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 487 534 712 974 1068 1424 1461 1948 2136 2833 2922 3896 4272 5666 5844 7792 8499 11332 11633 11688 16998 22664 23266 23376 33996 34899 43343 45328 46532 67992 69798 86686 93064 130029 135984 139596 173372 186128 252137 260058 279192 346744 504274 520116 558384 693488 756411 1008548 1035337 1040232 1379671 1512822 2017096 2070674 2080464 2759342 3025644 3106011 4034192 4139013 4141348 5518684 5665271 6051288 6212022 8278026 8282696 11037368 11330542 12102576 12424044 16556052 16565392 16995813 22074736 22661084 24848088 32956289 33112104 33991626 45322168 49696176 65912578 66224208 67983252 90644336 98868867 122790719 131825156 135966504 197737734 245581438 263650312 271933008 368372157 395475468 491162876 504209119 527300624 736744314 790950936 982325752 1008418238 1473488628 1512627357 1581901872 1964651504 2016836476 2933109721 2946977256 3025254714 4033672952 5866219442 5893954512 6050509428 8067345904 8799329163 11732438884 12101018856 16049712743 17598658326 23464877768 24202037712 32099425486 35197316652 46929755536 48149138229 64198850972 70394633304 96298276458 128397701944 140789266608 192596552916 256795403888 385193105832 770386211664 1428424434127 2856848868254 4285273302381 5713697736508 8570546604762 11427395473016 17141093209524 22854790946032 34282186419048 68564372838096