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66011022 = 23271197491
BaseRepresentation
bin1111101111001…
…1111110001110
311121012201002200
43323303332032
5113344323042
610314502330
71431040650
oct373637616
9147181080
1066011022
1134297070
121a1349a6
13108a2c9c
148aa46d0
155bddc4c
hex3ef3f8e

66011022 has 96 divisors (see below), whose sum is σ = 180520704. Its totient is φ = 16934400.

The previous prime is 66011021. The next prime is 66011069. The reversal of 66011022 is 22011066.

It is a happy number.

66011022 is a `hidden beast` number, since 660 + 1 + 1 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66010986 and 66011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66011021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134197 + ... + 134687.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 266011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90260352).

66011022 is an abundant number, since it is smaller than the sum of its proper divisors (114509682).

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

66011022 is a wasteful number, since it uses less digits than its factorization.

66011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66011022 is about 8124.7167335237. The cubic root of 66011022 is about 404.1464970462.

Adding to 66011022 its reverse (22011066), we get a palindrome (88022088).

The spelling of 66011022 in words is "sixty-six million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 97 99 126 154 194 198 231 291 462 491 582 679 693 873 982 1067 1358 1386 1473 1746 2037 2134 2946 3201 3437 4074 4419 5401 6111 6402 6874 7469 8838 9603 10311 10802 12222 14938 16203 19206 20622 22407 30933 32406 37807 44814 47627 48609 61866 67221 75614 95254 97218 113421 134442 142881 226842 285762 333389 340263 428643 523897 666778 680526 857286 1000167 1047794 1571691 2000334 3000501 3143382 3667279 4715073 6001002 7334558 9430146 11001837 22003674 33005511 66011022