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893730797898401 is a prime number
BaseRepresentation
bin1100101100110101111110101…
…0101110111100101010100001
311100012102211101222001112010202
43023031133222232330222201
51414120341133230222101
612444450132134234545
7356151630220313561
oct31315375256745241
94305384358045122
10893730797898401
11239852114999711
12842a3023ab5a55
132c48c5b6513578
1411a9ab3115ada1
156d4cec80bd36b
hex32cd7eabbcaa1

893730797898401 has 2 divisors, whose sum is σ = 893730797898402. Its totient is φ = 893730797898400.

The previous prime is 893730797898397. The next prime is 893730797898539. The reversal of 893730797898401 is 104898797037398.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 484791443280400 + 408939354618001 = 22017980^2 + 20222249^2 .

It is a cyclic number.

It is not a de Polignac number, because 893730797898401 - 22 = 893730797898397 is a prime.

It is a super-2 number, since 2×8937307978984012 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 893730797898401.

It is not a weakly prime, because it can be changed into another prime (893730797898901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 446865398949200 + 446865398949201.

It is an arithmetic number, because the mean of its divisors is an integer number (446865398949201).

Almost surely, 2893730797898401 is an apocalyptic number.

It is an amenable number.

893730797898401 is a deficient number, since it is larger than the sum of its proper divisors (1).

893730797898401 is an equidigital number, since it uses as much as digits as its factorization.

893730797898401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608866304, while the sum is 83.

The spelling of 893730797898401 in words is "eight hundred ninety-three trillion, seven hundred thirty billion, seven hundred ninety-seven million, eight hundred ninety-eight thousand, four hundred one".