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668526659093376 = 27331711378789813
BaseRepresentation
bin1001100000000001010111111…
…0000010011100001110000000
310020200001112011022200001212000
42120000111332002130032000
51200111120044211442001
610325500523555104000
7260546312553656016
oct23000257602341600
93220045138601760
10668526659093376
11184016622671156
1262b90b415a2000
1322904a412896a5
14bb12c11cc88b6
155244da4eaea86
hex260057e09c380

668526659093376 has 128 divisors (see below), whose sum is σ = 2089145809850400. Its totient is φ = 209733853814784.

The previous prime is 668526659093357. The next prime is 668526659093387. The reversal of 668526659093376 is 673390956625866.

668526659093376 is a `hidden beast` number, since 6 + 6 + 8 + 52 + 66 + 59 + 0 + 93 + 376 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 668526659093295 and 668526659093304.

It is a congruent number.

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, 5689336155 + ... + 5689453658.

Almost surely, 2668526659093376 is an apocalyptic number.

It is an amenable number.

668526659093376 is an abundant number, since it is smaller than the sum of its proper divisors (1420619150757024).

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

668526659093376 is a wasteful number, since it uses less digits than its factorization.

668526659093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11378789853 (or 11378789835 counting only the distinct ones).

The product of its (nonzero) digits is 15872371200, while the sum is 81.

The spelling of 668526659093376 in words is "six hundred sixty-eight trillion, five hundred twenty-six billion, six hundred fifty-nine million, ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 11378789813 22757579626 34136369439 45515159252 68272738878 91030318504 102409108317 136545477756 182060637008 193439426821 204818216634 273090955512 307227324951 364121274016 386878853642 409636433268 546181911024 580318280463 614454649902 728242548032 773757707284 819272866536 1092363822048 1160636560926 1228909299804 1456485096064 1547515414568 1638545733072 1740954841389 2184727644096 2321273121852 2457818599608 3095030829136 3277091466144 3481909682778 4369455288192 4642546243704 4915637199216 5222864524167 6190061658272 6554182932288 6963819365556 9285092487408 9831274398432 10445729048334 12380123316544 13108365864576 13927638731112 18570184974816 19662548796864 20891458096668 24760246633088 27855277462224 37140369949632 39325097593728 41782916193336 55710554924448 74280739899264 83565832386672 111421109848896 167131664773344 222842219697792 334263329546688 668526659093376