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26659008001 is a prime number
BaseRepresentation
bin11000110101000000…
…000010111000000001
32112210220121220221201
4120311000002320001
5414044201224001
620125203021201
71632430554253
oct306500027001
975726556851
1026659008001
111034035131a
12520006a801
13268b15c862
14140c83bcd3
15a6067a501
hex635002e01

26659008001 has 2 divisors, whose sum is σ = 26659008002. Its totient is φ = 26659008000.

The previous prime is 26659007993. The next prime is 26659008007. The reversal of 26659008001 is 10080095662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19573409025 + 7085598976 = 139905^2 + 84176^2 .

It is a cyclic number.

It is not a de Polignac number, because 26659008001 - 23 = 26659007993 is a prime.

It is not a weakly prime, because it can be changed into another prime (26659008007) 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, 13329504000 + 13329504001.

It is an arithmetic number, because the mean of its divisors is an integer number (13329504001).

Almost surely, 226659008001 is an apocalyptic number.

It is an amenable number.

26659008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

26659008001 is an equidigital number, since it uses as much as digits as its factorization.

26659008001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 26659008001 in words is "twenty-six billion, six hundred fifty-nine million, eight thousand, one".