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66511567668 = 2237313295617
BaseRepresentation
bin111101111100011001…
…011111101100110100
320100200022020201100010
4331330121133230310
52042203430131133
650315513420220
74543134666000
oct757431375464
9210608221303
1066511567668
1126231056247
1210a8270a670
13636c7cb300
14330d5c9700
151ae423b263
hexf7c65fb34

66511567668 has 144 divisors (see below), whose sum is σ = 195978652800. Its totient is φ = 17541328896.

The previous prime is 66511567651. The next prime is 66511567691. The reversal of 66511567668 is 86676511566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647796 + ... + 743412.

Almost surely, 266511567668 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 66511567668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97989326400).

66511567668 is an abundant number, since it is smaller than the sum of its proper divisors (129467085132).

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

66511567668 is a wasteful number, since it uses less digits than its factorization.

66511567668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95671 (or 95642 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 66511567668 in words is "sixty-six billion, five hundred eleven million, five hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 343 364 507 546 588 637 676 686 1014 1029 1092 1183 1274 1372 1911 2028 2058 2366 2548 3549 3822 4116 4459 4732 7098 7644 8281 8918 13377 14196 16562 17836 24843 26754 33124 49686 53508 57967 95617 99372 115934 173901 191234 231868 286851 347802 382468 573702 669319 695604 1147404 1243021 1338638 2007957 2486042 2677276 3729063 4015914 4685233 4972084 7458126 8031828 8701147 9370466 14055699 14916252 16159273 17402294 18740932 26103441 28111398 32318546 32796631 34804588 48477819 52206882 56222796 60908029 64637092 65593262 96955638 98389893 104413764 113114911 121816058 131186524 182724087 193911276 196779786 226229822 243632116 339344733 365448174 393559572 426356203 452459644 678689466 730896348 791804377 852712406 1279068609 1357378932 1583608754 1705424812 2375413131 2558137218 3167217508 4750826262 5116274436 5542630639 9501652524 11085261278 16627891917 22170522556 33255783834 66511567668