Search a number
-
+
1646438346461 is a prime number
BaseRepresentation
bin10111111101010111010…
…111110110111011011101
312211101202010012220110002
4113331113113312323131
5203433401204041321
63300210251424045
7226644164015156
oct27752727667335
95741663186402
101646438346461
11585283584517
12227110a55025
13bc348b2095c
145998bdb092d
152cc6343e20b
hex17f575f6edd

1646438346461 has 2 divisors, whose sum is σ = 1646438346462. Its totient is φ = 1646438346460.

The previous prime is 1646438346403. The next prime is 1646438346463.

1646438346461 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1194061038361 + 452377308100 = 1092731^2 + 672590^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1646438346461 - 226 = 1646371237597 is a prime.

Together with 1646438346463, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1646438346397 and 1646438346406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1646438346463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 823219173230 + 823219173231.

It is an arithmetic number, because the mean of its divisors is an integer number (823219173231).

Almost surely, 21646438346461 is an apocalyptic number.

It is an amenable number.

1646438346461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1646438346461 is an equidigital number, since it uses as much as digits as its factorization.

1646438346461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23887872, while the sum is 56.

The spelling of 1646438346461 in words is "one trillion, six hundred forty-six billion, four hundred thirty-eight million, three hundred forty-six thousand, four hundred sixty-one".