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11433146112 = 28392269
BaseRepresentation
bin10101010010111011…
…11111011100000000
31002111210111000000000
422221131333130000
5141403341133422
65130300000000
7553216065333
oct125135773400
932453430000
1011433146112
114937792993
122270b30000
1311028a2c1b
147a662261a
1546daedcac
hex2a977f700

11433146112 has 180 divisors, whose sum is σ = 34246954280. Its totient is φ = 3809369088.

The previous prime is 11433146071. The next prime is 11433146149. The reversal of 11433146112 is 21164133411.

11433146112 is a `hidden beast` number, since 1 + 1 + 4 + 33 + 14 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5037714 + ... + 5039982.

Almost surely, 211433146112 is an apocalyptic number.

11433146112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11433146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123477140).

11433146112 is an abundant number, since it is smaller than the sum of its proper divisors (22813808168).

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

11433146112 is an frugal number, since it uses more digits than its factorization.

11433146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2274 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 11433146112 its reverse (21164133411), we get a palindrome (32597279523).

The spelling of 11433146112 in words is "eleven billion, four hundred thirty-three million, one hundred forty-six thousand, one hundred twelve".