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2137948597 is a prime number
BaseRepresentation
bin111111101101110…
…1000000110110101
312111222221001010101
41333123220012311
513334303323342
6552051354101
7103660156201
oct17733500665
95458831111
102137948597
119a78a8474
124b7bb2931
13280c16a55
14163d27b01
15c7a613b7
hex7f6e81b5

2137948597 has 2 divisors, whose sum is σ = 2137948598. Its totient is φ = 2137948596.

The previous prime is 2137948537. The next prime is 2137948619. The reversal of 2137948597 is 7958497312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1378339876 + 759608721 = 37126^2 + 27561^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137948597 - 211 = 2137946549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137948537) 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, 1068974298 + 1068974299.

It is an arithmetic number, because the mean of its divisors is an integer number (1068974299).

Almost surely, 22137948597 is an apocalyptic number.

It is an amenable number.

2137948597 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137948597 is an equidigital number, since it uses as much as digits as its factorization.

2137948597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3810240, while the sum is 55.

The square root of 2137948597 is about 46237.9562372733. The cubic root of 2137948597 is about 1288.2468416752.

The spelling of 2137948597 in words is "two billion, one hundred thirty-seven million, nine hundred forty-eight thousand, five hundred ninety-seven".