Search a number
-
+
13208281862399 = 136183458343787
BaseRepresentation
bin1100000000110100101011…
…1100101101000011111111
31201202200212212120102012022
43000031022330231003333
53212401030124044044
644031444555430355
72532160352254001
oct300151274550377
951680785512168
1013208281862399
114232667854778
121593a2aa553bb
1374a6c6a37990
143393d9dc2371
1517d89ec313ee
hexc034af2d0ff

13208281862399 has 32 divisors (see below), whose sum is σ = 14635202287104. Its totient is φ = 11845044766080.

The previous prime is 13208281862393. The next prime is 13208281862423. The reversal of 13208281862399 is 99326818280231.

It is a Cunningham number, because it is equal to 36343202-1.

It is a cyclic number.

It is not a de Polignac number, because 13208281862399 - 216 = 13208281796863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13208281862393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301626584 + ... + 301670370.

It is an arithmetic number, because the mean of its divisors is an integer number (457350071472).

Almost surely, 213208281862399 is an apocalyptic number.

13208281862399 is a deficient number, since it is larger than the sum of its proper divisors (1426920424705).

13208281862399 is a wasteful number, since it uses less digits than its factorization.

13208281862399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527.

The product of its (nonzero) digits is 17915904, while the sum is 62.

The spelling of 13208281862399 in words is "thirteen trillion, two hundred eight billion, two hundred eighty-one million, eight hundred sixty-two thousand, three hundred ninety-nine".

Divisors: 1 13 61 83 793 1079 4583 5063 43787 59579 65819 279563 380389 569231 2671007 3634319 3634321 4945057 23203729 34723091 47246173 200675821 221693581 301648477 2608785673 2882016553 12241225081 16656093143 159135926053 216529210859 1016021681723 13208281862399