Search a number
-
+
13709114505649 is a prime number
BaseRepresentation
bin1100011101111110011011…
…1001100111100110110001
31210112120121202112210020201
43013133212321213212301
53244102231303140044
645053514045235201
72613310431424603
oct307374671474661
953476552483221
1013709114505649
114406003819392
121654b02862b01
137859c1527764
1435574ba2b173
1518b9139d87d4
hexc77e6e679b1

13709114505649 has 2 divisors, whose sum is σ = 13709114505650. Its totient is φ = 13709114505648.

The previous prime is 13709114505607. The next prime is 13709114505701. The reversal of 13709114505649 is 94650541190731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7657711304049 + 6051403201600 = 2767257^2 + 2459960^2 .

It is an emirp because it is prime and its reverse (94650541190731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13709114505649 - 215 = 13709114472881 is a prime.

It is a super-2 number, since 2×137091145056492 (a number of 27 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 13709114505649.

It is not a weakly prime, because it can be changed into another prime (13709114505949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6854557252824 + 6854557252825.

It is an arithmetic number, because the mean of its divisors is an integer number (6854557252825).

Almost surely, 213709114505649 is an apocalyptic number.

It is an amenable number.

13709114505649 is a deficient number, since it is larger than the sum of its proper divisors (1).

13709114505649 is an equidigital number, since it uses as much as digits as its factorization.

13709114505649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 13709114505649 in words is "thirteen trillion, seven hundred nine billion, one hundred fourteen million, five hundred five thousand, six hundred forty-nine".