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66996835931784 = 233113169111847061
BaseRepresentation
bin11110011101110111010101…
…00110110101011010001000
322210012211112200121011201210
433032323222212311122020
532240134004444304114
6354253531015013120
720053235023161153
oct1716735246653210
9283184480534653
1066996835931784
111a390220309140
12762052896a1a0
132b4ca0b8091b5
141278942658c9a
157b2b1c600259
hex3ceeea9b5688

66996835931784 has 128 divisors (see below), whose sum is σ = 188885765468160. Its totient is φ = 19618731360000.

The previous prime is 66996835931749. The next prime is 66996835931869. The reversal of 66996835931784 is 48713953869966.

It is a junction number, because it is equal to n+sod(n) for n = 66996835931697 and 66996835931706.

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, 268387 + ... + 11578674.

It is an arithmetic number, because the mean of its divisors is an integer number (1475670042720).

Almost surely, 266996835931784 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 66996835931784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94442882734080).

66996835931784 is an abundant number, since it is smaller than the sum of its proper divisors (121888929536376).

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

66996835931784 is a wasteful number, since it uses less digits than its factorization.

66996835931784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847803 (or 11847799 counting only the distinct ones).

The product of its digits is 12697896960, while the sum is 84.

The spelling of 66996835931784 in words is "sixty-six trillion, nine hundred ninety-six billion, eight hundred thirty-five million, nine hundred thirty-one thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 691 744 1023 1364 1382 2046 2073 2728 2764 4092 4146 5528 7601 8184 8292 15202 16584 21421 22803 30404 42842 45606 60808 64263 85684 91212 128526 171368 182424 235631 257052 471262 514104 706893 942524 1413786 1885048 2827572 5655144 11847061 23694122 35541183 47388244 71082366 94776488 130317671 142164732 260635342 284329464 367258891 390953013 521270684 734517782 781906026 1042541368 1101776673 1469035564 1563812052 2203553346 2938071128 3127624104 4039847801 4407106692 8079695602 8186319151 8814213384 12119543403 16159391204 16372638302 24239086806 24558957453 32318782408 32745276604 48478173612 49117914906 65490553208 90049510661 96956347224 98235829812 180099021322 196471659624 253775893681 270148531983 360198042644 507551787362 540297063966 720396085288 761327681043 1015103574724 1080594127932 1522655362086 2030207149448 2161188255864 2791534830491 3045310724172 5583069660982 6090621448344 8374604491473 11166139321964 16749208982946 22332278643928 33498417965892 66996835931784