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1938358313 is a prime number
BaseRepresentation
bin111001110001001…
…0000000000101001
312000002100210201122
41303202100000221
512432204431223
6520201425025
766014526263
oct16342200051
95002323648
101938358313
11905175321
1246119b175
1324b7740a8
14145610b33
15b52885c8
hex73890029

1938358313 has 2 divisors, whose sum is σ = 1938358314. Its totient is φ = 1938358312.

The previous prime is 1938358273. The next prime is 1938358319. The reversal of 1938358313 is 3138538391.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1500167824 + 438190489 = 38732^2 + 20933^2 .

It is a cyclic number.

It is not a de Polignac number, because 1938358313 - 228 = 1669922857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1938358319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 969179156 + 969179157.

It is an arithmetic number, because the mean of its divisors is an integer number (969179157).

Almost surely, 21938358313 is an apocalyptic number.

It is an amenable number.

1938358313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1938358313 is an equidigital number, since it uses as much as digits as its factorization.

1938358313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 44.

The square root of 1938358313 is about 44026.7908551146. The cubic root of 1938358313 is about 1246.8418007823.

The spelling of 1938358313 in words is "one billion, nine hundred thirty-eight million, three hundred fifty-eight thousand, three hundred thirteen".