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66654844845666 = 23721141294991681
BaseRepresentation
bin11110010011111010010100…
…10110010111111001100010
322202000010210202000221210220
433021331022112113321202
532214033110240030131
6353432451335103510
720016440123000100
oct1711751226277142
9282003722027726
1066654844845666
111a269185255390
1275861a4811b96
132b266a928208c
14126617c730c70
157a8ca3757e96
hex3c9f4a597e62

66654844845666 has 96 divisors (see below), whose sum is σ = 169213227785280. Its totient is φ = 17308750233600.

The previous prime is 66654844845649. The next prime is 66654844845671.

66654844845666 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66654844845591 and 66654844845600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10857346 + ... + 15849026.

It is an arithmetic number, because the mean of its divisors is an integer number (1762637789430).

Almost surely, 266654844845666 is an apocalyptic number.

66654844845666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66654844845666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84606613892640).

66654844845666 is an abundant number, since it is smaller than the sum of its proper divisors (102558382939614).

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

66654844845666 is a wasteful number, since it uses less digits than its factorization.

66654844845666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995840 (or 4995833 counting only the distinct ones).

The product of its digits is 19110297600, while the sum is 78.

The spelling of 66654844845666 in words is "sixty-six trillion, six hundred fifty-four billion, eight hundred forty-four million, eight hundred forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 4129 8258 12387 24774 28903 45419 57806 86709 90838 136257 173418 202321 272514 317933 404642 606963 635866 953799 1213926 1907598 2225531 4451062 4991681 6676593 9983362 13353186 14975043 29950086 34941767 54908491 69883534 104825301 109816982 164725473 209650602 244592369 329450946 384359437 489184738 733777107 768718874 1153078311 1467554214 2306156622 2690516059 5381032118 8071548177 16143096354 20610650849 41221301698 61831952547 123663905094 144274555943 226717159339 288549111886 432823667829 453434318678 680151478017 865647335658 1009921891601 1360302956034 1587020115373 2019843783202 3029765674803 3174040230746 4761060346119 6059531349606 9522120692238 11109140807611 22218281615222 33327422422833 66654844845666