Search a number
-
+
5785374097 is a prime number
BaseRepresentation
bin1010110001101010…
…11100110110010001
3112221012012110021201
411120311130312101
543322023432342
62354024351201
7263236603606
oct53065346621
915835173251
105785374097
1124a9769208
121155615501
137127904a9
143cc5006ad
1523cd8edb7
hex158d5cd91

5785374097 has 2 divisors, whose sum is σ = 5785374098. Its totient is φ = 5785374096.

The previous prime is 5785374083. The next prime is 5785374107. The reversal of 5785374097 is 7904735875.

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., 5757167376 + 28206721 = 75876^2 + 5311^2 .

It is a cyclic number.

It is not a de Polignac number, because 5785374097 - 211 = 5785372049 is a prime.

It is not a weakly prime, because it can be changed into another prime (5785174097) 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, 2892687048 + 2892687049.

It is an arithmetic number, because the mean of its divisors is an integer number (2892687049).

Almost surely, 25785374097 is an apocalyptic number.

It is an amenable number.

5785374097 is a deficient number, since it is larger than the sum of its proper divisors (1).

5785374097 is an equidigital number, since it uses as much as digits as its factorization.

5785374097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The square root of 5785374097 is about 76061.6466887222. The cubic root of 5785374097 is about 1795.1902558247.

The spelling of 5785374097 in words is "five billion, seven hundred eighty-five million, three hundred seventy-four thousand, ninety-seven".