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1057749193 is a prime number
BaseRepresentation
bin111111000010111…
…111100011001001
32201201100020010001
4333002333203021
54131240433233
6252543123001
735132501614
oct7702774311
92651306101
101057749193
114a3087696
122562a3461
1313b1a97c7
14a06a117b
1562cdc27d
hex3f0bf8c9

1057749193 has 2 divisors, whose sum is σ = 1057749194. Its totient is φ = 1057749192.

The previous prime is 1057749149. The next prime is 1057749223. The reversal of 1057749193 is 3919477501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1025792784 + 31956409 = 32028^2 + 5653^2 .

It is an emirp because it is prime and its reverse (3919477501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057749193 is a prime.

It is a super-2 number, since 2×10577491932 = 2237666710584302498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057749113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528874596 + 528874597.

It is an arithmetic number, because the mean of its divisors is an integer number (528874597).

Almost surely, 21057749193 is an apocalyptic number.

It is an amenable number.

1057749193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057749193 is an equidigital number, since it uses as much as digits as its factorization.

1057749193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 1057749193 is about 32523.0563293181. The cubic root of 1057749193 is about 1018.8906280933.

The spelling of 1057749193 in words is "one billion, fifty-seven million, seven hundred forty-nine thousand, one hundred ninety-three".