Search a number
-
+
13734947326465 = 5180114009108877
BaseRepresentation
bin1100011111011110101010…
…1010000000101000000001
31210122001022002120001110001
43013313222222000220001
53300013133003421330
645113425300240001
72615213540660161
oct307675252005001
953561262501401
1013734947326465
114415a5a772a82
121659b120a0001
1378827a465a51
14356abc8445a1
1518c4268679ca
hexc7deaa80a01

13734947326465 has 16 divisors (see below), whose sum is σ = 16492416993360. Its totient is φ = 10980972057600.

The previous prime is 13734947326421. The next prime is 13734947326489. The reversal of 13734947326465 is 56462374943731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 171754711489 + 13563192614976 = 414433^2 + 3682824^2 .

It is not a de Polignac number, because 13734947326465 - 219 = 13734946802177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13734947326397 and 13734947326406.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 126096607 + ... + 126205483.

It is an arithmetic number, because the mean of its divisors is an integer number (1030776062085).

Almost surely, 213734947326465 is an apocalyptic number.

It is an amenable number.

13734947326465 is a deficient number, since it is larger than the sum of its proper divisors (2757469666895).

13734947326465 is a wasteful number, since it uses less digits than its factorization.

13734947326465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124692.

The product of its digits is 274337280, while the sum is 64.

The spelling of 13734947326465 in words is "thirteen trillion, seven hundred thirty-four billion, nine hundred forty-seven million, three hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 5 1801 9005 14009 70045 108877 544385 25230209 126151045 196087477 980437385 1525257893 7626289465 2746989465293 13734947326465