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66659077095666 = 231117473181397379
BaseRepresentation
bin11110010100000010001101…
…00111001000000011110010
322202000112201200202112100220
433022001012213020003302
532214120242214030131
6353434431322553510
720016650033350266
oct1712010647100362
9282015650675326
1066659077095666
111a26aa57249460
127586b86068896
132b26c0203cc13
1412664608600a6
157a8e500a7e96
hex3ca0469c80f2

66659077095666 has 128 divisors (see below), whose sum is σ = 157319448514560. Its totient is φ = 18601105228800.

The previous prime is 66659077095629. The next prime is 66659077095679.

66659077095666 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66659077095591 and 66659077095600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167548165 + ... + 167945543.

It is an arithmetic number, because the mean of its divisors is an integer number (1229058191520).

Almost surely, 266659077095666 is an apocalyptic number.

66659077095666 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 66659077095666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78659724257280).

66659077095666 is an abundant number, since it is smaller than the sum of its proper divisors (90660371418894).

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

66659077095666 is a wasteful number, since it uses less digits than its factorization.

66659077095666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400640.

The product of its (nonzero) digits is 4629441600, while the sum is 78.

The spelling of 66659077095666 in words is "sixty-six trillion, six hundred fifty-nine billion, seventy-seven million, ninety-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 47 51 66 94 102 141 187 282 374 517 561 799 1034 1122 1551 1598 2397 3102 3181 4794 6362 8789 9543 17578 19086 26367 34991 52734 54077 69982 104973 108154 149507 162231 209946 299014 324462 397379 448521 594847 794758 897042 1189694 1192137 1644577 1784541 2384274 2541619 3289154 3569082 4371169 4933731 5083238 6755443 7624857 8742338 9867462 13113507 13510886 15249714 18676813 20266329 26227014 27957809 37353626 40532658 55915618 56030439 74309873 83873427 112060878 148619746 167746854 205444943 222929619 317505821 410889886 445859238 616334829 635011642 952517463 1232669658 1264062599 1905034926 2528125198 3492564031 3792187797 6985128062 7584375594 10477692093 13904688589 20955384186 21489064183 27809377178 41714065767 42978128366 59410942153 64467192549 83428131534 118821884306 128934385098 178232826459 236379706013 356465652918 472759412026 653520363683 709139118039 1009986016601 1307040727366 1418278236078 1960561091049 2019972033202 3029958049803 3921122182098 6059916099606 11109846182611 22219692365222 33329538547833 66659077095666