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66635781934208 = 279723928379349
BaseRepresentation
bin11110010011010110110100…
…00111001000110010000000
322201221022121012210201101012
433021223122013020302000
532213230040133343313
6353420020002500052
720015163536632544
oct1711533207106200
9281838535721335
1066635781934208
111a26109278a903
127582564664628
132b2495ba88406
141265290a9ba24
157a8539de2da8
hex3c9ada1c8c80

66635781934208 has 128 divisors (see below), whose sum is σ = 135158315040000. Its totient is φ = 32719997140992.

The previous prime is 66635781934199. The next prime is 66635781934237. The reversal of 66635781934208 is 80243918753666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839741318 + ... + 839820666.

It is an arithmetic number, because the mean of its divisors is an integer number (1055924336250).

It is a 1-persistent number, because it is pandigital, but 2⋅66635781934208 = 133271563868416 is not.

Almost surely, 266635781934208 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 66635781934208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67579157520000).

66635781934208 is an abundant number, since it is smaller than the sum of its proper divisors (68522533105792).

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

66635781934208 is a wasteful number, since it uses less digits than its factorization.

66635781934208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79982 (or 79970 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 68.

The spelling of 66635781934208 in words is "sixty-six trillion, six hundred thirty-five billion, seven hundred eighty-one million, nine hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 239 283 388 478 566 776 956 1132 1552 1912 2264 3104 3824 4528 6208 7648 9056 12416 15296 18112 23183 27451 30592 36224 46366 54902 67637 79349 92732 109804 135274 158698 185464 219608 270548 317396 370928 439216 541096 634792 741856 878432 1082192 1269584 1483712 1756864 2164384 2539168 2967424 3513728 4328768 5078336 6560789 7696853 8657536 10156672 13121578 15393706 18964411 22455767 26243156 30787412 37928822 44911534 52486312 61574824 75857644 89823068 104972624 123149648 151715288 179646136 209945248 246299296 303430576 359292272 419890496 492598592 606861152 718584544 839780992 985197184 1213722304 1437169088 1839547867 2178209399 2427444608 2874338176 3679095734 4356418798 5366928313 7358191468 8712837596 10733856626 14716382936 17425675192 21467713252 29432765872 34851350384 42935426504 58865531744 69702700768 85870853008 117731063488 139405401536 171741706016 235462126976 278810803072 343483412032 520592046361 686966824064 1041184092722 2082368185444 4164736370888 8329472741776 16658945483552 33317890967104 66635781934208