Base | Representation |
---|---|
bin | 10011010111110100… |
… | …111100101011000001 |
3 | 1222200122110200210000 |
4 | 103113310330223001 |
5 | 320100004210000 |
6 | 13320014230213 |
7 | 1334315212242 |
oct | 232764745301 |
9 | 58618420700 |
10 | 20800850625 |
11 | 89045a0a45 |
12 | 40461b5369 |
13 | 1c66597a49 |
14 | 10147d2cc9 |
15 | 81b210000 |
hex | 4d7d3cac1 |
20800850625 has 75 divisors (see below), whose sum is σ = 38889335023. Its totient is φ = 11076480000.
The previous prime is 20800850569. The next prime is 20800850627. The reversal of 20800850625 is 52605800802.
The square root of 20800850625 is 144225.
It is a perfect power (a square), and thus also a powerful number.
20800850625 is a `hidden beast` number, since 20 + 8 + 0 + 0 + 8 + 5 + 0 + 625 = 666.
It can be written as a sum of positive squares in 7 ways, for example, as 6653175489 + 14147675136 = 81567^2 + 118944^2 .
It is a tau number, because it is divible by the number of its divisors (75).
It is a de Polignac number, because none of the positive numbers 2k-20800850625 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 20800850625.
It is not an unprimeable number, because it can be changed into a prime (20800850627) by changing a digit.
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 74 ways as a sum of consecutive naturals, for example, 32450305 + ... + 32450945.
Almost surely, 220800850625 is an apocalyptic number.
20800850625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
20800850625 is the 144225-th square number.
20800850625 is the 72113-rd centered octagonal number.
It is an amenable number.
20800850625 is a deficient number, since it is larger than the sum of its proper divisors (18088484398).
20800850625 is an frugal number, since it uses more digits than its factorization.
20800850625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1314 (or 649 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
Multiplying 20800850625 by its sum of digits (36), we get a square (748830622500 = 8653502).
The spelling of 20800850625 in words is "twenty billion, eight hundred million, eight hundred fifty thousand, six hundred twenty-five".
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