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11444666462226 = 2342511177723899
BaseRepresentation
bin1010011010001010101101…
…0001110111000000010010
31111112002200111001102120000
42212202223101313000102
53000002134103242401
640201335053030430
72260564334561304
oct246425321670022
944462614042500
1011444666462226
1137127239464a8
12134a077785416
136502c58323aa
142b7cd3983974
1514ca7e5aa186
hexa68ab477012

11444666462226 has 80 divisors (see below), whose sum is σ = 25749963439200. Its totient is φ = 3799208448000.

The previous prime is 11444666462197. The next prime is 11444666462261. The reversal of 11444666462226 is 62226466644411.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 478864425 + ... + 478888323.

It is an arithmetic number, because the mean of its divisors is an integer number (321874542990).

Almost surely, 211444666462226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444666462226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874981719600).

11444666462226 is an abundant number, since it is smaller than the sum of its proper divisors (14305296976974).

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

11444666462226 is a wasteful number, since it uses less digits than its factorization.

11444666462226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35941 (or 35932 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 11444666462226 in words is "eleven trillion, four hundred forty-four billion, six hundred sixty-six million, four hundred sixty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 251 502 753 1506 2259 4518 6777 11777 13554 20331 23554 23899 35331 40662 47798 70662 71697 105993 143394 211986 215091 317979 430182 635958 645273 953937 1290546 1907874 1935819 2956027 3871638 5912054 5998649 8868081 11997298 17736162 17995947 26604243 35991894 53208486 53987841 79812729 107975682 159625458 161963523 239438187 281458523 323927046 478876374 485890569 562917046 844375569 971781138 1688751138 2533126707 5066253414 7599380121 15198760242 22798140363 45596280726 70646089273 141292178546 211938267819 423876535638 635814803457 1271629606914 1907444410371 3814888820742 5722333231113 11444666462226