Search a number
-
+
4116633313409 is a prime number
BaseRepresentation
bin111011111001111010011…
…101110110000010000001
3112120112202020211220122122
4323321322131312002001
51014421331112012114
612431053310414025
7603263003546531
oct73717235660201
915515666756578
104116633313409
111347944204281
125659b8201315
1323b273652156
141033634ab4c1
157213a5d8e8e
hex3be7a776081

4116633313409 has 2 divisors, whose sum is σ = 4116633313410. Its totient is φ = 4116633313408.

The previous prime is 4116633313381. The next prime is 4116633313423. The reversal of 4116633313409 is 9043133366114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2797684426384 + 1318948887025 = 1672628^2 + 1148455^2 .

It is a cyclic number.

It is not a de Polignac number, because 4116633313409 - 28 = 4116633313153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4116633313409.

It is not a weakly prime, because it can be changed into another prime (4116633313109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058316656704 + 2058316656705.

It is an arithmetic number, because the mean of its divisors is an integer number (2058316656705).

Almost surely, 24116633313409 is an apocalyptic number.

It is an amenable number.

4116633313409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4116633313409 is an equidigital number, since it uses as much as digits as its factorization.

4116633313409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 4116633313409 in words is "four trillion, one hundred sixteen billion, six hundred thirty-three million, three hundred thirteen thousand, four hundred nine".