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30578271127300 = 225213148123936637
BaseRepresentation
bin1101111001111100011101…
…11111010000011100000100
311000021020212021211201020101
412330332032333100130010
513001443244402033200
6145011244104213444
76304131031023151
oct674761677203404
9130236767751211
1030578271127300
11981a198971a16
12351a33516a284
13140a698476720
14779dd38a9228
1538062722226a
hex1bcf8efd0704

30578271127300 has 144 divisors (see below), whose sum is σ = 71547978417552. Its totient is φ = 11276400844800.

The previous prime is 30578271127297. The next prime is 30578271127331. The reversal of 30578271127300 is 372117287503.

It can be written as a sum of positive squares in 24 ways, for example, as 28848435913476 + 1729835213824 = 5371074^2 + 1315232^2 .

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, 4607239582 + ... + 4607246218.

It is an arithmetic number, because the mean of its divisors is an integer number (496860961233).

Almost surely, 230578271127300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30578271127300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773989208776).

30578271127300 is an abundant number, since it is smaller than the sum of its proper divisors (40969707290252).

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

30578271127300 is a wasteful number, since it uses less digits than its factorization.

30578271127300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The spelling of 30578271127300 in words is "thirty trillion, five hundred seventy-eight billion, two hundred seventy-one million, one hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1481 2393 2962 4786 5924 6637 7405 9572 11965 13274 14810 19253 23930 26548 29620 31109 33185 37025 38506 47860 59825 62218 66370 74050 77012 86281 96265 119650 124436 132740 148100 155545 165925 172562 192530 239300 311090 331850 345124 385060 431405 481325 622180 663700 777725 862810 962650 1555450 1725620 1925300 2157025 3110900 3544033 4314050 7088066 8628100 9829397 14176132 15882341 17720165 19658794 31764682 35440330 39317588 46072429 49146985 63529364 70880660 79411705 88600825 92144858 98293970 127782161 158823410 177201650 184289716 196587940 206470433 230362145 245734925 255564322 317646820 354403300 397058525 412940866 460724290 491469850 511128644 638910805 794117050 825881732 921448580 982939700 1032352165 1151810725 1277821610 1588234100 2064704330 2303621450 2555643220 3194554025 4129408660 4607242900 5161760825 6389108050 10323521650 12778216100 20647043300 23521747021 47043494042 94086988084 117608735105 235217470210 305782711273 470434940420 588043675525 611565422546 1176087351050 1223130845092 1528913556365 2352174702100 3057827112730 6115654225460 7644567781825 15289135563650 30578271127300