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66455322355466 = 2112310334734910529
BaseRepresentation
bin11110001110000110101011…
…11000011110011100001010
322201022001210200021021121122
433013003111320132130022
532202301000010333331
6353201053103435242
716666144560546662
oct1707032570363412
9281261720237548
1066455322355466
111a1a15a8a8a390
1275535a0bb5b22
132b1092cb722a5
14125a651c2d1a2
157a39c71a817b
hex3c70d5e1e70a

66455322355466 has 128 divisors (see below), whose sum is σ = 115245172224000. Its totient is φ = 28446187714560.

The previous prime is 66455322355451. The next prime is 66455322355493.

It is a happy number.

66455322355466 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66455322355399 and 66455322355408.

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, 6311640890 + ... + 6311651418.

It is an arithmetic number, because the mean of its divisors is an integer number (900352908000).

Almost surely, 266455322355466 is an apocalyptic number.

66455322355466 is a deficient number, since it is larger than the sum of its proper divisors (48789849868534).

66455322355466 is a wasteful number, since it uses less digits than its factorization.

66455322355466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364.

The product of its digits is 466560000, while the sum is 62.

The spelling of 66455322355466 in words is "sixty-six trillion, four hundred fifty-five billion, three hundred twenty-two million, three hundred fifty-five thousand, four hundred sixty-six".

Divisors: 1 2 11 22 23 46 103 206 253 347 349 506 694 698 1133 2266 2369 3817 3839 4738 7634 7678 7981 8027 10529 15962 16054 21058 26059 35741 35947 52118 71482 71894 87791 88297 115819 121103 175582 176594 231638 242167 242206 393151 395417 484334 786302 790834 822043 826781 1084487 1332133 1644086 1653562 2168974 2663837 2664266 2785369 3653563 3674621 5327674 5570738 7307126 7349242 9042473 9094591 11929357 12473609 18084946 18189182 23858714 24943201 24947218 30639059 40189193 40420831 49886402 61278118 80378386 80841662 84031949 84516283 137209699 168063898 169032566 274375211 274419398 286893007 376316989 378485963 548750422 573786014 752633978 756971926 924351439 929679113 1275093487 1848702878 1859358226 2550186974 3155823077 4139486879 4163345593 6311646154 8278973758 8326691186 8655290747 8705177149 14026028357 17310581494 17410354298 28052056714 29327150201 58654300402 95208198217 95756948639 131334629161 190416396434 191513897278 262669258322 322598652211 645197304422 1444680920771 2889361841542 3020696470703 6041392941406 33227661177733 66455322355466