Search a number
-
+
56865167769601 is a prime number
BaseRepresentation
bin11001110110111111101000…
…01000000000000000000001
321110100020221022111020222001
430323133310020000000001
524423134330422111401
6320535255240144001
714656241603555602
oct1473376410000001
9243306838436861
1056865167769601
1117134422809064
126464a25768001
132596492cc9249
1410084086a5da9
156892d8183601
hex33b7f4200001

56865167769601 has 2 divisors, whose sum is σ = 56865167769602. Its totient is φ = 56865167769600.

The previous prime is 56865167769559. The next prime is 56865167769629. The reversal of 56865167769601 is 10696776156865.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30446955551376 + 26418212218225 = 5517876^2 + 5139865^2 .

It is a cyclic number.

It is not a de Polignac number, because 56865167769601 - 211 = 56865167767553 is a prime.

It is not a weakly prime, because it can be changed into another prime (56865167769661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28432583884800 + 28432583884801.

It is an arithmetic number, because the mean of its divisors is an integer number (28432583884801).

Almost surely, 256865167769601 is an apocalyptic number.

It is an amenable number.

56865167769601 is a deficient number, since it is larger than the sum of its proper divisors (1).

56865167769601 is an equidigital number, since it uses as much as digits as its factorization.

56865167769601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 685843200, while the sum is 73.

The spelling of 56865167769601 in words is "fifty-six trillion, eight hundred sixty-five billion, one hundred sixty-seven million, seven hundred sixty-nine thousand, six hundred one".