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26959000513 is a prime number
BaseRepresentation
bin11001000110111000…
…011011001111000001
32120120211010010022111
4121012320123033001
5420203001004023
620215040535321
71643032503064
oct310670331701
976524103274
1026959000513
1110484720115
125284621541
132708357113
14143a60c8db
15a7bb8700d
hex646e1b3c1

26959000513 has 2 divisors, whose sum is σ = 26959000514. Its totient is φ = 26959000512.

The previous prime is 26959000501. The next prime is 26959000589. The reversal of 26959000513 is 31500095962.

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., 25905868209 + 1053132304 = 160953^2 + 32452^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26959000513 is a prime.

It is not a weakly prime, because it can be changed into another prime (26959007513) 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, 13479500256 + 13479500257.

It is an arithmetic number, because the mean of its divisors is an integer number (13479500257).

Almost surely, 226959000513 is an apocalyptic number.

It is an amenable number.

26959000513 is a deficient number, since it is larger than the sum of its proper divisors (1).

26959000513 is an equidigital number, since it uses as much as digits as its factorization.

26959000513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 40.

The spelling of 26959000513 in words is "twenty-six billion, nine hundred fifty-nine million, five hundred thirteen", and thus it is an aban number.