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1116726912 = 2735723223
BaseRepresentation
bin100001010001111…
…1110011010000000
32212211022121100000
41002203332122000
54241340230122
6302451200000
736450010410
oct10243763200
92784277300
101116726912
115233aa504
12271ba6000
1314a489372
14a8454640
156808c0ac
hex428fe680

1116726912 has 384 divisors, whose sum is σ = 3992002560. Its totient is φ = 303823872.

The previous prime is 1116726893. The next prime is 1116726913. The reversal of 1116726912 is 2196276111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 not an unprimeable number, because it can be changed into a prime (1116726913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5007633 + ... + 5007855.

It is an arithmetic number, because the mean of its divisors is an integer number (10395840).

Almost surely, 21116726912 is an apocalyptic number.

1116726912 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 1116726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996001280).

1116726912 is an abundant number, since it is smaller than the sum of its proper divisors (2875275648).

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

1116726912 is an equidigital number, since it uses as much as digits as its factorization.

1116726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 1116726912 is about 33417.4641766846. The cubic root of 1116726912 is about 1037.4861969809.

The spelling of 1116726912 in words is "one billion, one hundred sixteen million, seven hundred twenty-six thousand, nine hundred twelve".