Base | Representation |
---|---|
bin | 1100011000001100100001… |
… | …0011011000000000000000 |
3 | 1210012002022112121120211000 |
4 | 3012003020103120000000 |
5 | 3240440401112302333 |
6 | 44540132533252000 |
7 | 2603163644016600 |
oct | 306031023300000 |
9 | 53162275546730 |
10 | 13609816915968 |
11 | 4377988929589 |
12 | 1639810194000 |
13 | 7795283bc530 |
14 | 350a0bdb0c00 |
15 | 18905129a713 |
hex | c60c84d8000 |
13609816915968 has 3072 divisors, whose sum is σ = 56229659136000. Its totient is φ = 3210529996800.
The previous prime is 13609816915963. The next prime is 13609816915969. The reversal of 13609816915968 is 86951961890631.
13609816915968 is a `hidden beast` number, since 1 + 3 + 609 + 8 + 1 + 6 + 9 + 1 + 5 + 9 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 13609816915896 and 13609816915905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13609816915963) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331946754028 + ... + 331946754068.
It is an arithmetic number, because the mean of its divisors is an integer number (18303925500).
Almost surely, 213609816915968 is an apocalyptic number.
13609816915968 is a gapful number since it is divisible by the number (18) 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 13609816915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28114829568000).
13609816915968 is an abundant number, since it is smaller than the sum of its proper divisors (42619842220032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13609816915968 is a wasteful number, since it uses less digits than its factorization.
13609816915968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 157 (or 116 counting only the distinct ones).
The product of its (nonzero) digits is 151165440, while the sum is 72.
The spelling of 13609816915968 in words is "thirteen trillion, six hundred nine billion, eight hundred sixteen million, nine hundred fifteen thousand, nine hundred sixty-eight".
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