Base | Representation |
---|---|
bin | 10101101001111001… |
… | …10101111101100000 |
3 | 1010000012221222022121 |
4 | 22310330311331200 |
5 | 142302200030021 |
6 | 5201340514024 |
7 | 561045345322 |
oct | 126474657540 |
9 | 33005858277 |
10 | 11625783136 |
11 | 4a264a6a40 |
12 | 230554b914 |
13 | 113377ca26 |
14 | 7c4049612 |
15 | 4809a1741 |
hex | 2b4f35f60 |
11625783136 has 96 divisors (see below), whose sum is σ = 26609845248. Its totient is φ = 4946979840.
The previous prime is 11625783083. The next prime is 11625783161. The reversal of 11625783136 is 63138752611.
It is a junction number, because it is equal to n+sod(n) for n = 11625783092 and 11625783101.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 365236 + ... + 395788.
It is an arithmetic number, because the mean of its divisors is an integer number (277185888).
Almost surely, 211625783136 is an apocalyptic number.
11625783136 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 11625783136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304922624).
11625783136 is an abundant number, since it is smaller than the sum of its proper divisors (14984062112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11625783136 is a wasteful number, since it uses less digits than its factorization.
11625783136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30644 (or 30636 counting only the distinct ones).
The product of its digits is 181440, while the sum is 43.
The spelling of 11625783136 in words is "eleven billion, six hundred twenty-five million, seven hundred eighty-three thousand, one hundred thirty-six".
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