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27142418832600 = 23352197229631293
BaseRepresentation
bin1100010101111100101100…
…01110111001110011011000
310120002210022211120210022210
412022332112032321303120
512024200133210120400
6133421015521315120
75500655304262401
oct612762616716330
9116083284523283
1027142418832600
118715042914225
123064471195aa0
13121b699651c36
1469b9b30449a8
153210837ec950
hex18af963b9cd8

27142418832600 has 96 divisors (see below), whose sum is σ = 84568612954320. Its totient is φ = 7201237317120.

The previous prime is 27142418832553. The next prime is 27142418832611. The reversal of 27142418832600 is 623881424172.

It is a self number, because there is not a number n which added to its sum of digits gives 27142418832600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114697447 + ... + 114933846.

Almost surely, 227142418832600 is an apocalyptic number.

27142418832600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27142418832600 is an abundant number, since it is smaller than the sum of its proper divisors (57426194121720).

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

27142418832600 is a wasteful number, since it uses less digits than its factorization.

27142418832600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229631509 (or 229631500 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 27142418832600 in words is "twenty-seven trillion, one hundred forty-two billion, four hundred eighteen million, eight hundred thirty-two thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 197 200 300 394 591 600 788 985 1182 1576 1970 2364 2955 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 29550 39400 59100 118200 229631293 459262586 688893879 918525172 1148156465 1377787758 1837050344 2296312930 2755575516 3444469395 4592625860 5511151032 5740782325 6888938790 9185251720 11481564650 13777877580 17222346975 22963129300 27555755160 34444693950 45237364721 45926258600 68889387900 90474729442 135712094163 137778775800 180949458884 226186823605 271424188326 361898917768 452373647210 542848376652 678560470815 904747294420 1085696753304 1130934118025 1357120941630 1809494588840 2261868236050 2714241883260 3392802354075 4523736472100 5428483766520 6785604708150 9047472944200 13571209416300 27142418832600