Search a number
-
+
204962744910400 = 26523579132
BaseRepresentation
bin101110100110100110011011…
…100110100100001001000000
3222212201020200002201112200021
4232212212123212210021000
5203331102200144113100
62003530330220103224
761113032614121251
oct5646463346441100
9885636602645607
10204962744910400
115a342237152664
121aba31a0694b14
138a49b99b7cc19
14388836d5a2b28
1518a6840c80a1a
hexba699b9a4240

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".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 357913 715826 1431652 1789565 2863304 3579130 5726608 7158260 8947825 11453216 14316520 17895650 22906432 28633040 35791300 57266080 71582600 114532160 143165200 286330400 572660800 128101715569 256203431138 512406862276 640508577845 1024813724552 1281017155690 2049627449104 2562034311380 3202542889225 4099254898208 5124068622760 6405085778450 8198509796416 10248137245520 12810171556900 20496274491040 25620343113800 40992548982080 51240686227600 102481372455200 204962744910400