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66155166 = 23271159809
BaseRepresentation
bin1111110001011…
…1001010011110
311121111000211100
43330113022132
5113413431131
610321533530
71432211130
oct374271236
9147430740
1066155166
11343853a0
121a1a42a6
131092378c
148b01050
155c1b7e6
hex3f1729e

66155166 has 96 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 16871040.

The previous prime is 66155137. The next prime is 66155191.

66155166 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66155166.

It is a congruent number.

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, 81370 + ... + 82178.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 266155166 is an apocalyptic number.

66155166 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 66155166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90979200).

66155166 is an abundant number, since it is smaller than the sum of its proper divisors (115803234).

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

66155166 is a wasteful number, since it uses less digits than its factorization.

66155166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 891 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 66155166 is about 8133.5826054697. The cubic root of 66155166 is about 404.4404527094.

It can be divided in two parts, 6615 and 5166, that added together give a triangular number (11781 = T153).

The spelling of 66155166 in words is "sixty-six million, one hundred fifty-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 59 63 66 77 99 118 126 154 177 198 231 354 413 462 531 649 693 809 826 1062 1239 1298 1386 1618 1947 2427 2478 3717 3894 4543 4854 5663 5841 7281 7434 8899 9086 11326 11682 13629 14562 16989 17798 26697 27258 33978 40887 47731 50967 53394 62293 80091 81774 95462 101934 124586 143193 160182 186879 286386 334117 373758 429579 525041 560637 668234 859158 1002351 1050082 1121274 1575123 2004702 3007053 3150246 3675287 4725369 6014106 7350574 9450738 11025861 22051722 33077583 66155166