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208682486320 = 245711116329129
BaseRepresentation
bin1100001001011001110…
…0100000101000110000
3201221122102220200121211
43002112130200220300
511404340204030240
6235511205525504
721035226603130
oct3022634405060
9657572820554
10208682486320
1180557906730
123453b413894
13168a907bb49
14a159284ac0
155665832bea
hex3096720a30

208682486320 has 160 divisors (see below), whose sum is σ = 605449105920. Its totient is φ = 64985733120.

The previous prime is 208682486303. The next prime is 208682486321. The reversal of 208682486320 is 23684286802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (208682486321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7149516 + ... + 7178644.

It is an arithmetic number, because the mean of its divisors is an integer number (3784056912).

Almost surely, 2208682486320 is an apocalyptic number.

208682486320 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 208682486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302724552960).

208682486320 is an abundant number, since it is smaller than the sum of its proper divisors (396766619600).

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

208682486320 is a wasteful number, since it uses less digits than its factorization.

208682486320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30323 (or 30317 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 208682486320 in words is "two hundred eight billion, six hundred eighty-two million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1163 1232 1540 2326 3080 4652 5815 6160 8141 9304 11630 12793 16282 18608 23260 25586 29129 32564 40705 46520 51172 58258 63965 65128 81410 89551 93040 102344 116516 127930 130256 145645 162820 179102 203903 204688 233032 255860 291290 320419 325640 358204 407806 447755 466064 511720 582580 640838 651280 716408 815612 895510 1019515 1023440 1165160 1281676 1432816 1602095 1631224 1791020 2039030 2242933 2330320 2563352 3204190 3262448 3582040 4078060 4485866 5126704 6408380 7164080 8156120 8971732 11214665 12816760 16312240 17943464 22429330 25633520 33877027 35886928 44858660 67754054 89717320 135508108 169385135 179434640 237139189 271016216 338770270 372647297 474278378 542032432 677540540 745294594 948556756 1185695945 1355081080 1490589188 1863236485 1897113512 2371391890 2608531079 2710162160 2981178376 3726472970 3794227024 4742783780 5217062158 5962356752 7452945940 9485567560 10434124316 13042655395 14905891880 18971135120 20868248632 26085310790 29811783760 41736497264 52170621580 104341243160 208682486320