Search a number
-
+
206381996240 = 24572912899859
BaseRepresentation
bin1100000000110101010…
…0110101100011010000
3201201201010010200111112
43000031110311203100
511340132242334430
6234451030232452
720624224011020
oct3001524654320
9651633120445
10206381996240
117a587290462
1233bb8ab5728
1316600594904
149dbb929a80
15557d8b6195
hex300d5358d0

206381996240 has 160 divisors (see below), whose sum is σ = 567794016000. Its totient is φ = 68259631104.

The previous prime is 206381996239. The next prime is 206381996297. The reversal of 206381996240 is 42699183602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20928431 + ... + 20938289.

It is an arithmetic number, because the mean of its divisors is an integer number (3548712600).

Almost surely, 2206381996240 is an apocalyptic number.

206381996240 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 206381996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283897008000).

206381996240 is an abundant number, since it is smaller than the sum of its proper divisors (361412019760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206381996240 is a wasteful number, since it uses less digits than its factorization.

206381996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 206381996240 in words is "two hundred six billion, three hundred eighty-one million, nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1289 1624 2030 2320 2578 3248 4060 5156 6445 8120 9023 9859 10312 12890 16240 18046 19718 20624 25780 36092 37381 39436 45115 49295 51560 69013 72184 74762 78872 90230 98590 103120 138026 144368 149524 157744 180460 186905 197180 261667 276052 285911 299048 345065 360920 373810 394360 523334 552104 571822 598096 690130 721840 747620 788720 1046668 1104208 1143644 1308335 1380260 1429555 1495240 2001377 2093336 2287288 2616670 2760520 2859110 2990480 4002754 4186672 4574576 5233340 5521040 5718220 8005508 10006885 10466680 11436440 12708251 16011016 20013770 20933360 22872880 25416502 32022032 40027540 50833004 63541255 80055080 88957757 101666008 127082510 160110160 177915514 203332016 254165020 355831028 368539279 444788785 508330040 711662056 737078558 889577570 1016660080 1423324112 1474157116 1779155140 1842696395 2579774953 2948314232 3558310280 3685392790 5159549906 5896628464 7116620560 7370785580 10319099812 12898874765 14741571160 20638199624 25797749530 29483142320 41276399248 51595499060 103190998120 206381996240