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13726536949 is a prime number
BaseRepresentation
bin11001100100010101…
…00101010011110101
31022102121220022210101
430302022211103311
5211102443140244
610150023154101
7664104432106
oct146212452365
938377808711
1013726536949
1159042aa414
1227b0ba5931
1313a9a72a18
149430503ad
155551170d4
hex3322a54f5

13726536949 has 2 divisors, whose sum is σ = 13726536950. Its totient is φ = 13726536948.

The previous prime is 13726536937. The next prime is 13726536953. The reversal of 13726536949 is 94963562731.

13726536949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10215144900 + 3511392049 = 101070^2 + 59257^2 .

It is a cyclic number.

It is not a de Polignac number, because 13726536949 - 211 = 13726534901 is a prime.

It is a super-2 number, since 2×137265369492 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13726536949.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13726536959) 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, 6863268474 + 6863268475.

It is an arithmetic number, because the mean of its divisors is an integer number (6863268475).

Almost surely, 213726536949 is an apocalyptic number.

It is an amenable number.

13726536949 is a deficient number, since it is larger than the sum of its proper divisors (1).

13726536949 is an equidigital number, since it uses as much as digits as its factorization.

13726536949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7348320, while the sum is 55.

The spelling of 13726536949 in words is "thirteen billion, seven hundred twenty-six million, five hundred thirty-six thousand, nine hundred forty-nine".