Search a number
-
+
805303427769 = 3289233612
BaseRepresentation
bin10111011011111111101…
…00110010001010111001
32211222121222110210012100
423231333310302022321
5101143230134142034
61413541251134013
7112116112123401
oct13557764621271
92758558423170
10805303427769
11290588877555
121100a65a4309
135ac2a936309
142ad9684d801
1515e33bd3099
hexbb7fd322b9

805303427769 has 27 divisors (see below), whose sum is σ = 1176782886669. Its totient is φ = 530678776320.

The previous prime is 805303427717. The next prime is 805303427821. The reversal of 805303427769 is 967724303508.

The square root of 805303427769 is 897387.

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

805303427769 is a `hidden beast` number, since 8 + 0 + 5 + 303 + 4 + 277 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (805303427717) and next prime (805303427821).

It can be written as a sum of positive squares in 4 ways, for example, as 3920387769 + 801383040000 = 62613^2 + 895200^2 .

It is not a de Polignac number, because 805303427769 - 27 = 805303427641 is a prime.

It is a super-2 number, since 2×8053034277692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (805303427069) 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, 239600649 + ... + 239604009.

Almost surely, 2805303427769 is an apocalyptic number.

805303427769 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

805303427769 is the 897387-th square number.

805303427769 is the 448694-th centered octagonal number.

It is an amenable number.

805303427769 is a deficient number, since it is larger than the sum of its proper divisors (371479458900).

805303427769 is an frugal number, since it uses more digits than its factorization.

805303427769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 805303427769 in words is "eight hundred five billion, three hundred three million, four hundred twenty-seven thousand, seven hundred sixty-nine".

Divisors: 1 3 9 89 267 801 3361 7921 10083 23763 30249 71289 299129 897387 2692161 11296321 26622481 33888963 79867443 101666889 239602329 1005372569 3016117707 9048353121 89478158641 268434475923 805303427769