Search a number
-
+
26946309253 is a prime number
BaseRepresentation
bin11001000110001000…
…000000110010000101
32120112221020100011211
4121012020000302011
5420141223344003
620213504531421
71642516564243
oct310610006205
976487210154
1026946309253
1110478541a76
125280320b71
1327058325b6
141438a67793
15a7a9cb96d
hex646200c85

26946309253 has 2 divisors, whose sum is σ = 26946309254. Its totient is φ = 26946309252.

The previous prime is 26946309239. The next prime is 26946309281. The reversal of 26946309253 is 35290364962.

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., 26785577569 + 160731684 = 163663^2 + 12678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26946309253 is a prime.

It is a super-2 number, since 2×269463092532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26946309197 and 26946309206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26946309283) 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, 13473154626 + 13473154627.

It is an arithmetic number, because the mean of its divisors is an integer number (13473154627).

Almost surely, 226946309253 is an apocalyptic number.

It is an amenable number.

26946309253 is a deficient number, since it is larger than the sum of its proper divisors (1).

26946309253 is an equidigital number, since it uses as much as digits as its factorization.

26946309253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2099520, while the sum is 49.

The spelling of 26946309253 in words is "twenty-six billion, nine hundred forty-six million, three hundred nine thousand, two hundred fifty-three".