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2978684141 is a prime number
BaseRepresentation
bin1011000110001011…
…0001110011101101
321200120220211110212
42301202301303231
522100020343031
61211323312205
7133546253216
oct26142616355
97616824425
102978684141
111299431534
126b167b665
133861601c4
1420385840d
1512678312b
hexb18b1ced

2978684141 has 2 divisors, whose sum is σ = 2978684142. Its totient is φ = 2978684140.

The previous prime is 2978683993. The next prime is 2978684143. The reversal of 2978684141 is 1414868792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2966980900 + 11703241 = 54470^2 + 3421^2 .

It is a cyclic number.

It is not a de Polignac number, because 2978684141 - 210 = 2978683117 is a prime.

Together with 2978684143, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2978684141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2978684143) 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, 1489342070 + 1489342071.

It is an arithmetic number, because the mean of its divisors is an integer number (1489342071).

Almost surely, 22978684141 is an apocalyptic number.

It is an amenable number.

2978684141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2978684141 is an equidigital number, since it uses as much as digits as its factorization.

2978684141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 774144, while the sum is 50.

The square root of 2978684141 is about 54577.3225891487. The cubic root of 2978684141 is about 1438.8255825992.

The spelling of 2978684141 in words is "two billion, nine hundred seventy-eight million, six hundred eighty-four thousand, one hundred forty-one".