Search a number
-
+
13823566661 is a prime number
BaseRepresentation
bin11001101111111001…
…01110001101000101
31022200101110221112102
430313330232031011
5211302313113121
610203411001445
7666363243422
oct146774561505
938611427472
1013823566661
115954052263
122819599285
1313c3bb6558
14951caad49
1555d8d190b
hex337f2e345

13823566661 has 2 divisors, whose sum is σ = 13823566662. Its totient is φ = 13823566660.

The previous prime is 13823566637. The next prime is 13823566663. The reversal of 13823566661 is 16666532831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10339025761 + 3484540900 = 101681^2 + 59030^2 .

It is a cyclic number.

It is not a de Polignac number, because 13823566661 - 226 = 13756457797 is a prime.

It is a super-2 number, since 2×138235666612 (a number of 21 digits) contains 22 as substring.

Together with 13823566663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13823566663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6911783330 + 6911783331.

It is an arithmetic number, because the mean of its divisors is an integer number (6911783331).

Almost surely, 213823566661 is an apocalyptic number.

It is an amenable number.

13823566661 is a deficient number, since it is larger than the sum of its proper divisors (1).

13823566661 is an equidigital number, since it uses as much as digits as its factorization.

13823566661 is an evil number, because the sum of its binary digits is even.

The product of its digits is 933120, while the sum is 47.

The spelling of 13823566661 in words is "thirteen billion, eight hundred twenty-three million, five hundred sixty-six thousand, six hundred sixty-one".