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395697788401 is a prime number
BaseRepresentation
bin1011100001000010110…
…11010001010111110001
31101211100212012101011111
411300201123101113301
522440342113212101
6501440412513321
740405521464026
oct5604133212761
91354325171144
10395697788401
111428a60a4123
126483247b841
132b4112262c6
141521aa6154d
15a45dd79251
hex5c216d15f1

395697788401 has 2 divisors, whose sum is σ = 395697788402. Its totient is φ = 395697788400.

The previous prime is 395697788383. The next prime is 395697788441. The reversal of 395697788401 is 104887796593.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394887816801 + 809971600 = 628401^2 + 28460^2 .

It is a cyclic number.

It is not a de Polignac number, because 395697788401 - 211 = 395697786353 is a prime.

It is not a weakly prime, because it can be changed into another prime (395697788441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197848894200 + 197848894201.

It is an arithmetic number, because the mean of its divisors is an integer number (197848894201).

Almost surely, 2395697788401 is an apocalyptic number.

It is an amenable number.

395697788401 is a deficient number, since it is larger than the sum of its proper divisors (1).

395697788401 is an equidigital number, since it uses as much as digits as its factorization.

395697788401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 395697788401 in words is "three hundred ninety-five billion, six hundred ninety-seven million, seven hundred eighty-eight thousand, four hundred one".