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3029511681 = 327226212
BaseRepresentation
bin1011010010010010…
…1010111000000001
321211010120010202100
42310210222320001
522201023333211
61220340541013
7135034265400
oct26444527001
97733503670
103029511681
111315097a69
127066b1769
13393848181
1420a4c9637
1512ae73156
hexb492ae01

3029511681 has 27 divisors (see below), whose sum is σ = 5092346883. Its totient is φ = 1730489040.

The previous prime is 3029511679. The next prime is 3029511697. The reversal of 3029511681 is 1861159203.

The square root of 3029511681 is 55041.

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

It can be written as a sum of positive squares in only one way, i.e., 2495901681 + 533610000 = 49959^2 + 23100^2 .

It is not a de Polignac number, because 3029511681 - 21 = 3029511679 is a prime.

It is a super-2 number, since 2×30295116812 = 18355882050630891522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3029516681) 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 26 ways as a sum of consecutive naturals, for example, 1154551 + ... + 1157171.

Almost surely, 23029511681 is an apocalyptic number.

3029511681 is the 55041-st square number.

3029511681 is the 27521-st centered octagonal number.

It is an amenable number.

3029511681 is a deficient number, since it is larger than the sum of its proper divisors (2062835202).

3029511681 is an frugal number, since it uses more digits than its factorization.

3029511681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 3029511681 is about 1446.9633924238.

Multiplying 3029511681 by its sum of digits (36), we get a square (109062420516 = 3302462).

The spelling of 3029511681 in words is "three billion, twenty-nine million, five hundred eleven thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2621 7863 18347 23589 55041 128429 165123 385287 1155861 6869641 20608923 48087487 61826769 144262461 336612409 432787383 1009837227 3029511681