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2738147213 is a prime number
BaseRepresentation
bin1010001100110100…
…1100111110001101
321001211022021211202
42203031030332031
521101431202323
61131411555245
7124565603324
oct24315147615
97054267752
102738147213
11118568158a
12644bbbb25
13348381b69
141bd9230bb
151105bcd28
hexa334cf8d

2738147213 has 2 divisors, whose sum is σ = 2738147214. Its totient is φ = 2738147212.

The previous prime is 2738147173. The next prime is 2738147233. The reversal of 2738147213 is 3127418372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2685105124 + 53042089 = 51818^2 + 7283^2 .

It is a cyclic number.

It is not a de Polignac number, because 2738147213 - 210 = 2738146189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2738147233) 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, 1369073606 + 1369073607.

It is an arithmetic number, because the mean of its divisors is an integer number (1369073607).

Almost surely, 22738147213 is an apocalyptic number.

It is an amenable number.

2738147213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2738147213 is an equidigital number, since it uses as much as digits as its factorization.

2738147213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 38.

The square root of 2738147213 is about 52327.3084822829. The cubic root of 2738147213 is about 1399.0039195319.

The spelling of 2738147213 in words is "two billion, seven hundred thirty-eight million, one hundred forty-seven thousand, two hundred thirteen".