Search a number
-
+
13434542511 = 3133897091249
BaseRepresentation
bin11001000001100001…
…01101100110101111
31021200021110110201120
430200300231212233
5210003220330021
610101032512023
7653630504265
oct144060554657
937607413646
1013434542511
1157744a36a5
12272b24b613
131361418a50
14916362435
1553968a2c6
hex320c2d9af

13434542511 has 32 divisors (see below), whose sum is σ = 19383000000. Its totient is φ = 8227934208.

The previous prime is 13434542501. The next prime is 13434542531. The reversal of 13434542511 is 11524543431.

13434542511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13434542511 - 218 = 13434280367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434542501) 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 in 31 ways as a sum of consecutive naturals, for example, 10755615 + ... + 10756863.

It is an arithmetic number, because the mean of its divisors is an integer number (605718750).

Almost surely, 213434542511 is an apocalyptic number.

13434542511 is a deficient number, since it is larger than the sum of its proper divisors (5948457489).

13434542511 is a wasteful number, since it uses less digits than its factorization.

13434542511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363.

The product of its digits is 28800, while the sum is 33.

The spelling of 13434542511 in words is "thirteen billion, four hundred thirty-four million, five hundred forty-two thousand, five hundred eleven".

Divisors: 1 3 13 39 389 709 1167 1249 2127 3747 5057 9217 15171 16237 27651 48711 275801 485861 827403 885541 1457583 2656623 3585413 6316193 10756239 11512033 18948579 34536099 344475449 1033426347 4478180837 13434542511