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1958040323329 is a prime number
BaseRepresentation
bin11100011111100100010…
…011000100010100000001
320221012001012022102110011
4130133210103010110001
5224040031310321304
64055302235304521
7261315031065136
oct34374423042401
96835035272404
101958040323329
11695444797752
122775938ab141
131128474b551c
146aaabd2258d
1535dee44ac04
hex1c7e44c4501

1958040323329 has 2 divisors, whose sum is σ = 1958040323330. Its totient is φ = 1958040323328.

The previous prime is 1958040323251. The next prime is 1958040323357. The reversal of 1958040323329 is 9233230408591.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1941976028304 + 16064295025 = 1393548^2 + 126745^2 .

It is a cyclic number.

It is not a de Polignac number, because 1958040323329 - 29 = 1958040322817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1958040321329) 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, 979020161664 + 979020161665.

It is an arithmetic number, because the mean of its divisors is an integer number (979020161665).

Almost surely, 21958040323329 is an apocalyptic number.

It is an amenable number.

1958040323329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1958040323329 is an equidigital number, since it uses as much as digits as its factorization.

1958040323329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 1958040323329 in words is "one trillion, nine hundred fifty-eight billion, forty million, three hundred twenty-three thousand, three hundred twenty-nine".