| Base | Representation |
|---|---|
| bin | 1001010101010100… |
| … | …1101010000010100 |
| 3 | 20110121021200222210 |
| 4 | 2111111031100110 |
| 5 | 20112333131000 |
| 6 | 1052334353420 |
| 7 | 116041150452 |
| oct | 22525152024 |
| 9 | 6417250883 |
| 10 | 2505364500 |
| 11 | 1076238481 |
| 12 | 59b05b870 |
| 13 | 30c08a102 |
| 14 | 19aa499d2 |
| 15 | e9e3a350 |
| hex | 9554d414 |
2505364500 has 192 divisors, whose sum is σ = 7509954816. Its totient is φ = 648806400.
The previous prime is 2505364441. The next prime is 2505364501. The reversal of 2505364500 is 54635052.
It is a super-3 number, since 3×25053645003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2505364501) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9748372 + ... + 9748628.
It is an arithmetic number, because the mean of its divisors is an integer number (39114348).
Almost surely, 22505364500 is an apocalyptic number.
2505364500 is a gapful number since it is divisible by the number (20) 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 2505364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754977408).
2505364500 is an abundant number, since it is smaller than the sum of its proper divisors (5004590316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2505364500 is a wasteful number, since it uses less digits than its factorization.
2505364500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 18000, while the sum is 30.
The square root of 2505364500 is about 50053.6162529742. The cubic root of 2505364500 is about 1358.1788809876.
Adding to 2505364500 its reverse (54635052), we get a palindrome (2559999552).
The spelling of 2505364500 in words is "two billion, five hundred five million, three hundred sixty-four thousand, five hundred".
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