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3033916561 = 1321922232
BaseRepresentation
bin1011010011010101…
…1110010010010001
321211102211221010001
42310311132102101
522203140312221
61221015210001
7135116602534
oct26465362221
97742757101
103033916561
111317626465
12708076901
1339472b100
1420ad14a1b
1512b543391
hexb4d5e491

3033916561 has 27 divisors (see below), whose sum is σ = 3482873019. Its totient is φ = 2641244112.

The previous prime is 3033916559. The next prime is 3033916607. The reversal of 3033916561 is 1656193303.

The square root of 3033916561 is 55081.

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

3033916561 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., 448804225 + 2585112336 = 21185^2 + 50844^2 .

It is not a de Polignac number, because 3033916561 - 21 = 3033916559 is a prime.

It is a super-2 number, since 2×30339165612 = 18409299398220133442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3033916561.

It is not an unprimeable number, because it can be changed into a prime (3033916531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13604896 + ... + 13605118.

It is an arithmetic number, because the mean of its divisors is an integer number (128995297).

Almost surely, 23033916561 is an apocalyptic number.

3033916561 is the 55081-st square number.

3033916561 is the 27541-st centered octagonal number.

It is an amenable number.

3033916561 is a deficient number, since it is larger than the sum of its proper divisors (448956458).

3033916561 is an equidigital number, since it uses as much as digits as its factorization.

3033916561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The cubic root of 3033916561 is about 1447.6643429590.

The spelling of 3033916561 in words is "three billion, thirty-three million, nine hundred sixteen thousand, five hundred sixty-one".

Divisors: 1 13 19 169 223 247 361 2899 3211 4237 4693 37687 49729 55081 61009 80503 646477 716053 944851 1046539 8404201 12283063 13605007 17952169 159679819 233378197 3033916561