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809933401369 = 17216723172
BaseRepresentation
bin10111100100100111100…
…10101110110100011001
32212102120122120210222001
423302103302232310121
5101232220422320434
61420024523401001
7112341622214611
oct13622362566431
92772518523861
10809933401369
11292544321214
12110b79083161
135b4b7c19571
142b2b570da41
15161053e7114
hexbc93caed19

809933401369 has 27 divisors (see below), whose sum is σ = 868300993693. Its totient is φ = 755335346048.

The previous prime is 809933401363. The next prime is 809933401439. The reversal of 809933401369 is 963104339908.

The square root of 809933401369 is 899963.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50002773769 + 759930627600 = 223613^2 + 871740^2 .

It is not a de Polignac number, because 809933401369 - 213 = 809933393177 is a prime.

It is a super-2 number, since 2×8099334013692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809933401363) 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, 2554994799 + ... + 2554995115.

Almost surely, 2809933401369 is an apocalyptic number.

809933401369 is the 899963-rd square number.

809933401369 is the 449982-nd centered octagonal number.

It is an amenable number.

809933401369 is a deficient number, since it is larger than the sum of its proper divisors (58367592324).

809933401369 is an frugal number, since it uses more digits than its factorization.

809933401369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 809933401369 in words is "eight hundred nine billion, nine hundred thirty-three million, four hundred one thousand, three hundred sixty-nine".

Divisors: 1 17 167 289 317 2839 5389 27889 48263 52939 91613 100489 474113 899963 1708313 8059921 8840813 15299371 16781663 29041321 150293821 285288271 2554994957 2802537721 4849900607 47643141257 809933401369