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816298561 = 13241117809
BaseRepresentation
bin110000101001111…
…011101001000001
32002220000021010001
4300221323221001
53132433023221
6213000040001
726141265121
oct6051735101
92086007101
10816298561
11389863211
121a9463001
1310016b600
147a5acc81
154b9e6391
hex30a7ba41

816298561 has 12 divisors (see below), whose sum is σ = 905487660. Its totient is φ = 735121920.

The previous prime is 816298559. The next prime is 816298591. The reversal of 816298561 is 165892618.

It can be written as a sum of positive squares in 6 ways, for example, as 134096400 + 682202161 = 11580^2 + 26119^2 .

It is not a de Polignac number, because 816298561 - 21 = 816298559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816298591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51976 + ... + 65833.

It is an arithmetic number, because the mean of its divisors is an integer number (75457305).

Almost surely, 2816298561 is an apocalyptic number.

It is an amenable number.

816298561 is a deficient number, since it is larger than the sum of its proper divisors (89189099).

816298561 is a wasteful number, since it uses less digits than its factorization.

816298561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117876 (or 117863 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The square root of 816298561 is about 28570.9390990216. The cubic root of 816298561 is about 934.5797003311.

The spelling of 816298561 in words is "eight hundred sixteen million, two hundred ninety-eight thousand, five hundred sixty-one".

Divisors: 1 13 41 169 533 6929 117809 1531517 4830169 19909721 62792197 816298561