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26457476401 is a prime number
BaseRepresentation
bin11000101000111111…
…010000110100110001
32112021212102001120101
4120220333100310301
5413141103221101
620053203312401
71624432560466
oct305077206461
975255361511
1026457476401
1110247612684
12516467b701
13265848a3a5
1413cdb7b66d
15a4cb1c401
hex628fd0d31

26457476401 has 2 divisors, whose sum is σ = 26457476402. Its totient is φ = 26457476400.

The previous prime is 26457476399. The next prime is 26457476413. The reversal of 26457476401 is 10467475462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25179342400 + 1278134001 = 158680^2 + 35751^2 .

It is a cyclic number.

It is not a de Polignac number, because 26457476401 - 21 = 26457476399 is a prime.

Together with 26457476399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (26457476471) 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, 13228738200 + 13228738201.

It is an arithmetic number, because the mean of its divisors is an integer number (13228738201).

Almost surely, 226457476401 is an apocalyptic number.

It is an amenable number.

26457476401 is a deficient number, since it is larger than the sum of its proper divisors (1).

26457476401 is an equidigital number, since it uses as much as digits as its factorization.

26457476401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 26457476401 in words is "twenty-six billion, four hundred fifty-seven million, four hundred seventy-six thousand, four hundred one".