Search a number
-
+
15018706772161 is a prime number
BaseRepresentation
bin1101101010001101000010…
…1011101010000011000001
31222011202220111102212101221
43122203100223222003001
53432031302413202121
651535255412355041
73110031361140001
oct332432053520301
958152814385357
1015018706772161
114870441488364
121826886615a81
1384c3479c0a31
1439cca3120001
151b0a0eacbb41
hexda8d0aea0c1

15018706772161 has 2 divisors, whose sum is σ = 15018706772162. Its totient is φ = 15018706772160.

The previous prime is 15018706772159. The next prime is 15018706772221. The reversal of 15018706772161 is 16127760781051.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14946582298561 + 72124473600 = 3866081^2 + 268560^2 .

It is a cyclic number.

It is not a de Polignac number, because 15018706772161 - 21 = 15018706772159 is a prime.

Together with 15018706772159, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 15018706772099 and 15018706772108.

It is not a weakly prime, because it can be changed into another prime (15018706770161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7509353386080 + 7509353386081.

It is an arithmetic number, because the mean of its divisors is an integer number (7509353386081).

Almost surely, 215018706772161 is an apocalyptic number.

It is an amenable number.

15018706772161 is a deficient number, since it is larger than the sum of its proper divisors (1).

15018706772161 is an equidigital number, since it uses as much as digits as its factorization.

15018706772161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 52.

The spelling of 15018706772161 in words is "fifteen trillion, eighteen billion, seven hundred six million, seven hundred seventy-two thousand, one hundred sixty-one".