Base | Representation |
---|---|
bin | 101110100110100110011011… |
… | …100110100100001001000000 |
3 | 222212201020200002201112200021 |
4 | 232212212123212210021000 |
5 | 203331102200144113100 |
6 | 2003530330220103224 |
7 | 61113032614121251 |
oct | 5646463346441100 |
9 | 885636602645607 |
10 | 204962744910400 |
11 | 5a342237152664 |
12 | 1aba31a0694b14 |
13 | 8a49b99b7cc19 |
14 | 388836d5a2b28 |
15 | 18a6840c80a1a |
hex | ba699b9a4240 |
204962744910400 has 63 divisors (see below), whose sum is σ = 504337863302571. Its totient is φ = 81984868899840.
The previous prime is 204962744910373. The next prime is 204962744910403. The reversal of 204962744910400 is 4019447269402.
It is a happy number.
The square root of 204962744910400 is 14316520.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 743554391616 + 204219190518784 = 862296^2 + 14290528^2 .
It is a super-3 number, since 3×2049627449104003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (204962744910403) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 572481844 + ... + 572839756.
Almost surely, 2204962744910400 is an apocalyptic number.
204962744910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
204962744910400 is the 14316520-th square number.
It is an amenable number.
204962744910400 is an abundant number, since it is smaller than the sum of its proper divisors (299375118392171).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204962744910400 is an frugal number, since it uses more digits than its factorization.
204962744910400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 715848 (or 357920 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 52.
The spelling of 204962744910400 in words is "two hundred four trillion, nine hundred sixty-two billion, seven hundred forty-four million, nine hundred ten thousand, four hundred".
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