Search a number
-
+
13480133346672 = 243299684003841
BaseRepresentation
bin1100010000101001011010…
…0011110100010101110000
31202201200120200002200111220
43010022112203310111300
53231324303114043142
644400404320305040
72560623161613666
oct304122643642560
952650520080456
1013480133346672
11432798a936533
121618659472180
1376a22bc49405
14348628954c36
151859b10de2ec
hexc42968f4570

13480133346672 has 40 divisors (see below), whose sum is σ = 36024494292240. Its totient is φ = 4338433720320.

The previous prime is 13480133346671. The next prime is 13480133346679. The reversal of 13480133346672 is 27664333108431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13480133346671) 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 in 7 ways as a sum of consecutive naturals, for example, 4842000529 + ... + 4842003312.

It is an arithmetic number, because the mean of its divisors is an integer number (900612357306).

Almost surely, 213480133346672 is an apocalyptic number.

13480133346672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13480133346672 is an abundant number, since it is smaller than the sum of its proper divisors (22544360945568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13480133346672 is a wasteful number, since it uses less digits than its factorization.

13480133346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684003881 (or 9684003875 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 13480133346672 in words is "thirteen trillion, four hundred eighty billion, one hundred thirty-three million, three hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 9684003841 19368007682 29052011523 38736015364 58104023046 77472030728 116208046092 154944061456 232416092184 280836111389 464832184368 561672222778 842508334167 1123344445556 1685016668334 2246688891112 3370033336668 4493377782224 6740066673336 13480133346672