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66512986893366 = 231379107619162971
BaseRepresentation
bin11110001111110010000101…
…11101001110110000110110
322201111120122102021022122120
433013321002331032300312
532204222044121041431
6353243351102540410
720003255551205166
oct1707710275166066
9281446572238576
1066512986893366
111a213aaa125182
1275627b4897706
132b161bc7bc130
14125d3624625a6
157a524e882196
hex3c7e42f4ec36

66512986893366 has 128 divisors (see below), whose sum is σ = 146665412812800. Its totient is φ = 19985170158720.

The previous prime is 66512986893341. The next prime is 66512986893373. The reversal of 66512986893366 is 66339868921566.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 66512986893291 and 66512986893300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408046261 + ... + 408209231.

It is an arithmetic number, because the mean of its divisors is an integer number (1145823537600).

Almost surely, 266512986893366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66512986893366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73332706406400).

66512986893366 is an abundant number, since it is smaller than the sum of its proper divisors (80152425919434).

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

66512986893366 is a wasteful number, since it uses less digits than its factorization.

66512986893366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163794.

The product of its digits is 3627970560, while the sum is 78.

The spelling of 66512986893366 in words is "sixty-six trillion, five hundred twelve billion, nine hundred eighty-six million, eight hundred ninety-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 79 107 158 214 237 321 474 619 642 1027 1238 1391 1857 2054 2782 3081 3714 4173 6162 8047 8346 8453 16094 16906 24141 25359 48282 48901 50718 66233 97802 109889 132466 146703 162971 198699 219778 293406 325942 329667 397398 488913 635713 659334 861029 977826 1271426 1722058 1907139 2118623 2583087 3814278 4237246 5166174 5232407 6355869 10464814 12711738 12874709 15697221 17437897 25749418 31394442 34875794 38624127 52313691 68021291 77248254 100879049 104627382 136042582 167371217 201758098 204063873 226692661 302637147 334742434 408127746 453385322 502113651 605274294 680077983 1004227302 1311427637 1360155966 1377593863 2622855274 2755187726 3934282911 4132781589 7868565822 7969444871 8265563178 10794058243 15938889742 17908720219 21588116486 23908334613 32382174729 35817440438 47816669226 53726160657 64764349458 103602783323 107452321314 140322757159 207205566646 280645514318 310808349969 420968271477 621616699938 841936542954 852730601197 1705461202394 2558191803591 5116383607182 11085497815561 22170995631122 33256493446683 66512986893366