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11423166144 = 263137173883
BaseRepresentation
bin10101010001101111…
…11010111011000000
31002111002200222001120
422220313322323000
5141343312304034
65125302032240
7553035211245
oct125067727300
932432628046
1011423166144
114932096885
122269718680
1311007ba510
147a51855cc
1546cccbc49
hex2a8dfaec0

11423166144 has 224 divisors, whose sum is σ = 33497178624. Its totient is φ = 3413975040.

The previous prime is 11423166143. The next prime is 11423166193. The reversal of 11423166144 is 44166132411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11423166143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12936327 + ... + 12937209.

It is an arithmetic number, because the mean of its divisors is an integer number (149540976).

Almost surely, 211423166144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11423166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748589312).

11423166144 is an abundant number, since it is smaller than the sum of its proper divisors (22074012480).

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

11423166144 is a wasteful number, since it uses less digits than its factorization.

11423166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1045 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 11423166144 its reverse (44166132411), we get a palindrome (55589298555).

The spelling of 11423166144 in words is "eleven billion, four hundred twenty-three million, one hundred sixty-six thousand, one hundred forty-four".