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9396830430625 = 541127121572
BaseRepresentation
bin1000100010111101111010…
…1111010110010110100001
31020021022212021021101112211
42020233132233112112201
52212424202042240000
631552502211522121
71656620134530241
oct210573657262641
936238767241484
109396830430625
112aa319a892100
1210792035b9341
1353216a9554a1
14246b47d41b21
15114676bd87ba
hex88bdebd65a1

9396830430625 has 135 divisors (see below), whose sum is σ = 13175063413743. Its totient is φ = 6694888200000.

The previous prime is 9396830430599. The next prime is 9396830430677. The reversal of 9396830430625 is 5260340386939.

The square root of 9396830430625 is 3065425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8637150843409 + 759679587216 = 2938903^2 + 871596^2 .

It is not a de Polignac number, because 9396830430625 - 219 = 9396829906337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9396830430625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 59852423047 + ... + 59852423203.

Almost surely, 29396830430625 is an apocalyptic number.

9396830430625 is the 3065425-th square number.

9396830430625 is the 1532713-rd centered octagonal number.

It is an amenable number.

9396830430625 is a deficient number, since it is larger than the sum of its proper divisors (3778232983118).

9396830430625 is an frugal number, since it uses more digits than its factorization.

9396830430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 58.

The spelling of 9396830430625 in words is "nine trillion, three hundred ninety-six billion, eight hundred thirty million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 71 121 125 157 275 355 605 625 781 785 1375 1727 1775 3025 3905 3925 5041 6875 8591 8635 8875 11147 15125 18997 19525 19625 24649 25205 42955 43175 44375 55451 55735 75625 94985 97625 98125 122617 123245 126025 214775 215875 271139 277255 278675 474925 488125 609961 613085 616225 630125 791437 1073875 1079375 1348787 1355695 1386275 1393375 1750079 2374625 2982529 3049805 3065425 3081125 3150625 3957185 5369375 6743935 6778475 6931375 6966875 8705807 8750395 11873125 14912645 15249025 15327125 15405625 19250869 19785925 33719675 33892375 34656875 43529035 43751975 74563225 76245125 76635625 95763877 96254345 98929625 124255609 168598375 169461875 211759559 217645175 218759875 372816125 381225625 478819385 481271725 494648125 621278045 842991875 1058797795 1088225875 1093799375 1366811699 1864080625 2394096925 2406358625 3106390225 5293988975 5441129375 6834058495 11970484625 12031793125 15034928689 15531951125 26469944875 34170292475 59852423125 75174643445 77659755625 132349724375 170851462375 375873217225 854257311875 1879366086125 9396830430625