Base | Representation |
---|---|
bin | 1000000100000100… |
… | …0111011110000100 |
3 | 12120211222201100000 |
4 | 2001001013132010 |
5 | 13413111203404 |
6 | 554441521300 |
7 | 104432254623 |
oct | 20101073604 |
9 | 5524881300 |
10 | 2164553604 |
11 | a1091a184 |
12 | 504aa3230 |
13 | 2865a0665 |
14 | 1676916ba |
15 | ca069339 |
hex | 81047784 |
2164553604 has 72 divisors (see below), whose sum is σ = 5795008128. Its totient is φ = 706151520.
The previous prime is 2164553593. The next prime is 2164553609. The reversal of 2164553604 is 4063554612.
2164553604 is a `hidden beast` number, since 2 + 1 + 6 + 45 + 5 + 3 + 604 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2164553609) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21994 + ... + 69374.
It is an arithmetic number, because the mean of its divisors is an integer number (80486224).
Almost surely, 22164553604 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2164553604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897504064).
2164553604 is an abundant number, since it is smaller than the sum of its proper divisors (3630454524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2164553604 is a wasteful number, since it uses less digits than its factorization.
2164553604 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47447 (or 47433 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 2164553604 is about 46524.7633416872. The cubic root of 2164553604 is about 1293.5685507343.
The spelling of 2164553604 in words is "two billion, one hundred sixty-four million, five hundred fifty-three thousand, six hundred four".
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