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2153726593 is a prime number
BaseRepresentation
bin1000000001011111…
…0100001010000001
312120002121122110121
42000113310022001
513402323222333
6553413500241
7104241242164
oct20027641201
95502548417
102153726593
11a057a4737
12501341681
1328427c545
14166073adb
15c912b32d
hex805f4281

2153726593 has 2 divisors, whose sum is σ = 2153726594. Its totient is φ = 2153726592.

The previous prime is 2153726587. The next prime is 2153726629. The reversal of 2153726593 is 3956273512.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1413233649 + 740492944 = 37593^2 + 27212^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153726593 - 213 = 2153718401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2153720593) 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, 1076863296 + 1076863297.

It is an arithmetic number, because the mean of its divisors is an integer number (1076863297).

Almost surely, 22153726593 is an apocalyptic number.

It is an amenable number.

2153726593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153726593 is an equidigital number, since it uses as much as digits as its factorization.

2153726593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 340200, while the sum is 43.

The square root of 2153726593 is about 46408.2599652260. The cubic root of 2153726593 is about 1291.4081518373.

The spelling of 2153726593 in words is "two billion, one hundred fifty-three million, seven hundred twenty-six thousand, five hundred ninety-three".