Search a number
-
+
105452255252319 = 365953339532247
BaseRepresentation
bin10111111110100010000100…
…001101110000111101011111
3111211101010200222110212220020
4113332202010031300331133
5102310212204321033234
61012140033002523223
731132450122132003
oct2776420415607537
9454333628425806
10105452255252319
1130667060a56578
12b9b142ab06513
1346ac1498c3891
141c07cb87cc703
15c2d0c6262549
hex5fe884370f5f

105452255252319 has 8 divisors (see below), whose sum is σ = 140816365134720. Its totient is φ = 70194824435736.

The previous prime is 105452255252303. The next prime is 105452255252371. The reversal of 105452255252319 is 913252552254501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105452255252319 - 24 = 105452255252303 is a prime.

It is a super-3 number, since 3×1054522552523193 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105452255251319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26669764147 + ... + 26669768100.

It is an arithmetic number, because the mean of its divisors is an integer number (17602045641840).

Almost surely, 2105452255252319 is an apocalyptic number.

105452255252319 is a deficient number, since it is larger than the sum of its proper divisors (35364109882401).

105452255252319 is an equidigital number, since it uses as much as digits as its factorization.

105452255252319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53339532909.

The product of its (nonzero) digits is 5400000, while the sum is 51.

The spelling of 105452255252319 in words is "one hundred five trillion, four hundred fifty-two billion, two hundred fifty-five million, two hundred fifty-two thousand, three hundred nineteen".

Divisors: 1 3 659 1977 53339532247 160018596741 35150751750773 105452255252319