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2048293097 is a prime number
BaseRepresentation
bin111101000010110…
…0111100011101001
312021202020001220022
41322011213203221
513143330334342
6535130010225
7101521126664
oct17205474351
95252201808
102048293097
11961231a14
12491b76975
13268485866
1415606a6db
15bec519d2
hex7a1678e9

2048293097 has 2 divisors, whose sum is σ = 2048293098. Its totient is φ = 2048293096.

The previous prime is 2048293087. The next prime is 2048293103. The reversal of 2048293097 is 7903928402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1457025241 + 591267856 = 38171^2 + 24316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048293097 - 26 = 2048293033 is a prime.

It is a super-2 number, since 2×20482930972 = 8391009222435702818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2048293087) 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, 1024146548 + 1024146549.

It is an arithmetic number, because the mean of its divisors is an integer number (1024146549).

Almost surely, 22048293097 is an apocalyptic number.

It is an amenable number.

2048293097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048293097 is an equidigital number, since it uses as much as digits as its factorization.

2048293097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 2048293097 is about 45258.0721750275. The cubic root of 2048293097 is about 1269.9814197377.

The spelling of 2048293097 in words is "two billion, forty-eight million, two hundred ninety-three thousand, ninety-seven".