Base | Representation |
---|---|
bin | 1001010010001111110000… |
… | …01100100011100010010000 |
3 | 2200021221210112102012002221 |
4 | 10221013320030203202100 |
5 | 10134012324230124421 |
6 | 111231544330350424 |
7 | 4205106426664132 |
oct | 451077014434220 |
9 | 80257715365087 |
10 | 20418143598736 |
11 | 6562316841734 |
12 | 235920ab8b414 |
13 | b5156581ca00 |
14 | 508359d4b052 |
15 | 2561c9550841 |
hex | 1291f8323890 |
20418143598736 has 135 divisors (see below), whose sum is σ = 43276047496929. Its totient is φ = 9328216375296.
The previous prime is 20418143598689. The next prime is 20418143598793. The reversal of 20418143598736 is 63789534181402.
The square root of 20418143598736 is 4518644.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 17787778613136 + 2630364985600 = 4217556^2 + 1621840^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26551551760 + ... + 26551552528.
It is a 1-persistent number, because it is pandigital, but 2⋅20418143598736 = 40836287197472 is not.
Almost surely, 220418143598736 is an apocalyptic number.
20418143598736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
20418143598736 is the 4518644-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20418143598736
20418143598736 is an abundant number, since it is smaller than the sum of its proper divisors (22857903898193).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20418143598736 is an frugal number, since it uses more digits than its factorization.
20418143598736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1798 (or 897 counting only the distinct ones).
The product of its (nonzero) digits is 34836480, while the sum is 61.
The spelling of 20418143598736 in words is "twenty trillion, four hundred eighteen billion, one hundred forty-three million, five hundred ninety-eight thousand, seven hundred thirty-six".
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