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26540600017 is a prime number
BaseRepresentation
bin11000101101111100…
…010110101011010001
32112111122211011201211
4120231330112223101
5413323343200032
620105333100121
71626462243421
oct305574265321
975448734654
1026540600017
111028a527688
125188487641
13266c772469
1413dac18481
15a5508b747
hex62df16ad1

26540600017 has 2 divisors, whose sum is σ = 26540600018. Its totient is φ = 26540600016.

The previous prime is 26540600003. The next prime is 26540600057. The reversal of 26540600017 is 71000604562.

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., 26208048321 + 332551696 = 161889^2 + 18236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26540600017 is a prime.

It is not a weakly prime, because it can be changed into another prime (26540600057) 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, 13270300008 + 13270300009.

It is an arithmetic number, because the mean of its divisors is an integer number (13270300009).

Almost surely, 226540600017 is an apocalyptic number.

It is an amenable number.

26540600017 is a deficient number, since it is larger than the sum of its proper divisors (1).

26540600017 is an equidigital number, since it uses as much as digits as its factorization.

26540600017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 26540600017 in words is "twenty-six billion, five hundred forty million, six hundred thousand, seventeen".