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946116081 = 32102532
BaseRepresentation
bin111000011001001…
…001010111110001
32102221021200021100
4320121021113301
53414201203311
6233514315013
732305565631
oct7031112761
92387250240
10946116081
11446070019
12224a28a69
13121022001
148d9226c1
15580daa56
hex386495f1

946116081 has 9 divisors (see below), whose sum is σ = 1366745419. Its totient is φ = 630682536.

The previous prime is 946116071. The next prime is 946116103. The reversal of 946116081 is 180611649.

It is a happy number.

The square root of 946116081 is 30759.

It is a perfect power (a square), and thus also a powerful number.

946116081 is a `hidden beast` number, since 9 + 46 + 1 + 1 + 608 + 1 = 666.

946116081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111830625 + 834285456 = 10575^2 + 28884^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 946116081 - 25 = 946116049 is a prime.

It is a super-2 number, since 2×9461160812 = 1790271277453597122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (946116071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87151 + ... + 97403.

Almost surely, 2946116081 is an apocalyptic number.

946116081 is the 30759-th square number.

946116081 is the 15380-th centered octagonal number.

It is an amenable number.

946116081 is a deficient number, since it is larger than the sum of its proper divisors (420629338).

946116081 is an frugal number, since it uses more digits than its factorization.

946116081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20512 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 946116081 is about 981.7060664604.

Multiplying 946116081 by its sum of digits (36), we get a square (34060178916 = 1845542).

The spelling of 946116081 in words is "nine hundred forty-six million, one hundred sixteen thousand, eighty-one".

Divisors: 1 3 9 10253 30759 92277 105124009 315372027 946116081