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2164038517 is a prime number
BaseRepresentation
bin1000000011111100…
…1001101101110101
312120211000112202201
42000333021231311
513412443213032
6554422504501
7104425011124
oct20077115565
95524015681
102164038517
11a105a8193
12504895131
13286450084
14167599abb
15c9eb68e7
hex80fc9b75

2164038517 has 2 divisors, whose sum is σ = 2164038518. Its totient is φ = 2164038516.

The previous prime is 2164038491. The next prime is 2164038523. The reversal of 2164038517 is 7158304612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2076260356 + 87778161 = 45566^2 + 9369^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164038517 - 219 = 2163514229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164038587) 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, 1082019258 + 1082019259.

It is an arithmetic number, because the mean of its divisors is an integer number (1082019259).

Almost surely, 22164038517 is an apocalyptic number.

It is an amenable number.

2164038517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164038517 is an equidigital number, since it uses as much as digits as its factorization.

2164038517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2164038517 is about 46519.2273904028. The cubic root of 2164038517 is about 1293.4659347797.

The spelling of 2164038517 in words is "two billion, one hundred sixty-four million, thirty-eight thousand, five hundred seventeen".