Search a number
-
+
13726573153 is a prime number
BaseRepresentation
bin11001100100010101…
…01110001001100001
31022102121222011110021
430302022232021201
5211103000320103
610150024033441
7664104642466
oct146212561141
938377864407
1013726573153
115904324637
1227b1002881
1313a9a86347
1494305d66d
15555122bbd
hex3322ae261

13726573153 has 2 divisors, whose sum is σ = 13726573154. Its totient is φ = 13726573152.

The previous prime is 13726573097. The next prime is 13726573163. The reversal of 13726573153 is 35137562731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13377929569 + 348643584 = 115663^2 + 18672^2 .

It is an emirp because it is prime and its reverse (35137562731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13726573153 - 225 = 13693018721 is a prime.

It is a super-2 number, since 2×137265731532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13726573163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6863286576 + 6863286577.

It is an arithmetic number, because the mean of its divisors is an integer number (6863286577).

Almost surely, 213726573153 is an apocalyptic number.

It is an amenable number.

13726573153 is a deficient number, since it is larger than the sum of its proper divisors (1).

13726573153 is an equidigital number, since it uses as much as digits as its factorization.

13726573153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396900, while the sum is 43.

The spelling of 13726573153 in words is "thirteen billion, seven hundred twenty-six million, five hundred seventy-three thousand, one hundred fifty-three".