Base | Representation |
---|---|
bin | 1101010000011011011110… |
… | …0111101111001100010000 |
3 | 1220121102221212012001220000 |
4 | 3110012313213233030100 |
5 | 3402302423044322033 |
6 | 51000024515050000 |
7 | 3033034335365232 |
oct | 324066747571420 |
9 | 56542855161800 |
10 | 14575904682768 |
11 | 470a674222770 |
12 | 1774aa8ba0900 |
13 | 81966a920ba0 |
14 | 385698584252 |
15 | 1a42456eca13 |
hex | d41b79ef310 |
14575904682768 has 400 divisors, whose sum is σ = 49584305276352. Its totient is φ = 4075360128000.
The previous prime is 14575904682739. The next prime is 14575904682769. The reversal of 14575904682768 is 86728640957541.
14575904682768 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 5 + 90 + 468 + 2 + 76 + 8 = 666.
It is a super-2 number, since 2×145759046827682 (a number of 27 digits) contains 22 as substring.
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 = 14575904682696 and 14575904682705.
It is not an unprimeable number, because it can be changed into a prime (14575904682769) 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 79 ways as a sum of consecutive naturals, for example, 446809498 + ... + 446842118.
Almost surely, 214575904682768 is an apocalyptic number.
14575904682768 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 14575904682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24792152638176).
14575904682768 is an abundant number, since it is smaller than the sum of its proper divisors (35008400593584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14575904682768 is a wasteful number, since it uses less digits than its factorization.
14575904682768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35076 (or 35061 counting only the distinct ones).
The product of its (nonzero) digits is 812851200, while the sum is 72.
The spelling of 14575904682768 in words is "fourteen trillion, five hundred seventy-five billion, nine hundred four million, six hundred eighty-two thousand, seven hundred sixty-eight".
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