Base | Representation |
---|---|
bin | 1100001001010111001101… |
… | …1010010111000000000000 |
3 | 1202021201120012002100000000 |
4 | 3002111303122113000000 |
5 | 3222302004320104211 |
6 | 44223110400000000 |
7 | 2545603043463450 |
oct | 302256332270000 |
9 | 52251505070000 |
10 | 13354989613056 |
11 | 42899015221a3 |
12 | 15b8353000000 |
13 | 75b4a71b98b0 |
14 | 342556413d60 |
15 | 1825d978e656 |
hex | c2573697000 |
13354989613056 has 1872 divisors, whose sum is σ = 50846003912704. Its totient is φ = 3413194702848.
The previous prime is 13354989613051. The next prime is 13354989613073. The reversal of 13354989613056 is 65031698945331.
13354989613056 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 4 + 9 + 8 + 9 + 613 + 0 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1872).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 13354989612984 and 13354989613002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13354989613051) 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 143 ways as a sum of consecutive naturals, for example, 105157398465 + ... + 105157398591.
Almost surely, 213354989613056 is an apocalyptic number.
13354989613056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13354989613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25423001956352).
13354989613056 is an abundant number, since it is smaller than the sum of its proper divisors (37491014299648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13354989613056 is an frugal number, since it uses more digits than its factorization.
13354989613056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238 (or 195 counting only the distinct ones).
The product of its (nonzero) digits is 62985600, while the sum is 63.
The spelling of 13354989613056 in words is "thirteen trillion, three hundred fifty-four billion, nine hundred eighty-nine million, six hundred thirteen thousand, fifty-six".
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