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66224422442266 = 211193116739297789
BaseRepresentation
bin11110000111011000100110…
…01011001101010100011010
322200110222210212100100220121
433003230103023031110122
532140010104121123031
6352503025113143454
716643361631636324
oct1703542313152432
9280428725310817
1066224422442266
111a112690002040
1275168a10bab8a
132ac4c22bc500a
14124d3c9daa614
1579c9b10e9011
hex3c3b132cd51a

66224422442266 has 128 divisors (see below), whose sum is σ = 118500931584000. Its totient is φ = 27422009049600.

The previous prime is 66224422442261. The next prime is 66224422442267.

66224422442266 is nontrivially palindromic in base 10.

66224422442266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×662244224422662 (a number of 28 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66224422442261) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8502297100 + ... + 8502304888.

It is an arithmetic number, because the mean of its divisors is an integer number (925788528000).

Almost surely, 266224422442266 is an apocalyptic number.

66224422442266 is a deficient number, since it is larger than the sum of its proper divisors (52276509141734).

66224422442266 is a wasteful number, since it uses less digits than its factorization.

66224422442266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948.

The product of its digits is 21233664, while the sum is 52.

The spelling of 66224422442266 in words is "sixty-six trillion, two hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, two hundred sixty-six".

Divisors: 1 2 11 19 22 31 38 62 167 209 334 341 418 589 682 1178 1837 3173 3674 3929 5177 6346 6479 7789 7858 10354 12958 15578 34903 43219 56947 69806 74651 85679 86438 98363 113894 121799 147991 149302 171358 196726 241459 243598 295982 482918 656143 821161 1081993 1300763 1312286 1339789 1627901 1642322 2163986 2314181 2601526 2656049 2679578 3255802 4587721 4628362 5312098 7217573 9175442 12466717 14308393 14435146 20340433 24714497 24933434 25455991 28616786 30602981 40323653 40680866 49428994 50464931 50911982 61205962 80647306 100929862 137133887 223744763 271859467 274267774 336632791 386468227 443560183 447489526 543718934 581456639 673265582 766149407 772936454 887120366 948692411 1162913278 1532298814 1897384822 4251150497 5110697827 6396023029 8427643477 8502300994 10221395654 10435616521 12792046058 16855286954 18025155809 20871233042 36050311618 56217676097 97103258713 112435352194 158431632637 194206517426 198276713899 316863265274 396553427798 1068135845843 1742747959007 2136271691686 3010201020103 3485495918014 6020402040206 33112211221133 66224422442266