Search a number
-
+
13877477807873 is a prime number
BaseRepresentation
bin1100100111110001101000…
…1000101001011100000001
31211010200012021210201002212
43021330122020221130001
53304332033304322443
645303120355151505
72631420560040251
oct311743210513401
954120167721085
1013877477807873
11447045048a269
12168166b2a5595
1379884336a304
1435d960179961
15190eb97d6618
hexc9f1a229701

13877477807873 has 2 divisors, whose sum is σ = 13877477807874. Its totient is φ = 13877477807872.

The previous prime is 13877477807863. The next prime is 13877477807891. The reversal of 13877477807873 is 37870877477831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8850250153969 + 5027227653904 = 2974937^2 + 2242148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13877477807873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13877477807794 and 13877477807803.

It is not a weakly prime, because it can be changed into another prime (13877477807833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6938738903936 + 6938738903937.

It is an arithmetic number, because the mean of its divisors is an integer number (6938738903937).

Almost surely, 213877477807873 is an apocalyptic number.

It is an amenable number.

13877477807873 is a deficient number, since it is larger than the sum of its proper divisors (1).

13877477807873 is an equidigital number, since it uses as much as digits as its factorization.

13877477807873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2168506368, while the sum is 77.

The spelling of 13877477807873 in words is "thirteen trillion, eight hundred seventy-seven billion, four hundred seventy-seven million, eight hundred seven thousand, eight hundred seventy-three".