Search a number
-
+
13413525002505 = 34533119814821
BaseRepresentation
bin1100001100110001010001…
…1001001001100100001001
31202111022122121202012210000
43003030110121021210021
53224231344400040010
644310031024313213
72553044440206525
oct303142431114411
952438577665700
1013413525002505
11430170a1a0711
12160776a472809
13763b75395904
1434530a576d85
15183db36387c0
hexc3314649909

13413525002505 has 20 divisors (see below), whose sum is σ = 24044985560772. Its totient is φ = 7153880001120.

The previous prime is 13413525002467. The next prime is 13413525002509. The reversal of 13413525002505 is 50520052531431.

13413525002505 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 352 + 50 + 0 + 250 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1522531420281 + 11890993582224 = 1233909^2 + 3448332^2 .

It is not a de Polignac number, because 13413525002505 - 212 = 13413524998409 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13413525002505.

It is not an unprimeable number, because it can be changed into a prime (13413525002509) 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 19 ways as a sum of consecutive naturals, for example, 16559907006 + ... + 16559907815.

Almost surely, 213413525002505 is an apocalyptic number.

13413525002505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13413525002505 is a deficient number, since it is larger than the sum of its proper divisors (10631460558267).

13413525002505 is an equidigital number, since it uses as much as digits as its factorization.

13413525002505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33119814838 (or 33119814829 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 13413525002505 its reverse (50520052531431), we get a palindrome (63933577533936).

The spelling of 13413525002505 in words is "thirteen trillion, four hundred thirteen billion, five hundred twenty-five million, two thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 33119814821 99359444463 165599074105 298078333389 496797222315 894235000167 1490391666945 2682705000501 4471175000835 13413525002505