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268432174530300 = 2235211187477433883
BaseRepresentation
bin111101000010001100111100…
…011010001011111011111100
31022012102212100210000211120010
4331002030330122023323330
5240140443043134432200
62350524012200023220
7110353404344342034
oct7502147432137374
91265385323024503
10268432174530300
117859249a5678a0
1226133b54161b10
13b6a2078ab9361
144a40287d348c4
15210780be65150
hexf4233c68befc

268432174530300 has 144 divisors (see below), whose sum is σ = 847276026613632. Its totient is φ = 65073969465600.

The previous prime is 268432174530281. The next prime is 268432174530341. The reversal of 268432174530300 is 3035471234862.

It is a self number, because there is not a number n which added to its sum of digits gives 268432174530300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618457159 + ... + 618891041.

It is an arithmetic number, because the mean of its divisors is an integer number (5883861295928).

Almost surely, 2268432174530300 is an apocalyptic number.

268432174530300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268432174530300 is an abundant number, since it is smaller than the sum of its proper divisors (578843852083332).

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

268432174530300 is a wasteful number, since it uses less digits than its factorization.

268432174530300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621388 (or 621381 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 268432174530300 in words is "two hundred sixty-eight trillion, four hundred thirty-two billion, one hundred seventy-four million, five hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 187477 374954 433883 562431 749908 867766 937385 1124862 1301649 1735532 1874770 2062247 2169415 2249724 2603298 2812155 3749540 4124494 4338830 4686925 4772713 5206596 5624310 6186741 6508245 8248988 8677660 9373850 9545426 10311235 10847075 11248620 12373482 13016490 14060775 14318139 18747700 19090852 20622470 21694150 23863565 24746964 26032980 28121550 28636278 30933705 32541225 41244940 43388300 47727130 51556175 56243100 57272556 61867410 65082450 71590695 95454260 103112350 119317825 123734820 130164900 143181390 154668525 206224700 238635650 286362780 309337050 357953475 477271300 618674100 715906950 1431813900 81343083191 162686166382 244029249573 325372332764 406715415955 488058499146 813430831910 894773915101 976116998292 1220146247865 1626861663820 1789547830202 2033577079775 2440292495730 2684321745303 3579095660404 4067154159550 4473869575505 4880584991460 5368643490606 6100731239325 8134308319100 8947739151010 10737286981212 12201462478650 13421608726515 17895478302020 22369347877525 24402924957300 26843217453030 44738695755050 53686434906060 67108043632575 89477391510100 134216087265150 268432174530300