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9830063632248 = 2333419479226753
BaseRepresentation
bin1000111100001011110101…
…1100110110111101111000
31021210202010000222022202000
42033002331130312331320
52242023432242212443
632523511402541000
72033125066142016
oct217027534667570
937722100868660
109830063632248
11314a9a7718792
121129170507760
13563c81450772
1425dac5adb8b6
15120a80eb68d3
hex8f0bd736f78

9830063632248 has 128 divisors (see below), whose sum is σ = 27428163840000. Its totient is φ = 3262028875776.

The previous prime is 9830063632229. The next prime is 9830063632273. The reversal of 9830063632248 is 8422363600389.

9830063632248 is a `hidden beast` number, since 9 + 8 + 30 + 0 + 6 + 363 + 2 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9830063632194 and 9830063632203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43238040 + ... + 43464792.

It is an arithmetic number, because the mean of its divisors is an integer number (214282530000).

Almost surely, 29830063632248 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 9830063632248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714081920000).

9830063632248 is an abundant number, since it is smaller than the sum of its proper divisors (17598100207752).

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

9830063632248 is a wasteful number, since it uses less digits than its factorization.

9830063632248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227666 (or 227656 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 9830063632248 in words is "nine trillion, eight hundred thirty billion, sixty-three million, six hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 479 838 958 1257 1437 1676 1916 2514 2874 3352 3771 3832 4311 5028 5748 7542 8622 10056 11313 11496 12933 15084 17244 22626 25866 30168 34488 45252 51732 90504 103464 200701 226753 401402 453506 602103 680259 802804 907012 1204206 1360518 1605608 1806309 1814024 2040777 2408412 2721036 3612618 4081554 4816824 5418927 5442072 6122331 7225236 8163108 10837854 12244662 14450472 16326216 21675708 24489324 43351416 48978648 95009507 108614687 190019014 217229374 285028521 325844061 380038028 434458748 570057042 651688122 760076056 855085563 868917496 977532183 1140114084 1303376244 1710171126 1955064366 2280228168 2565256689 2606752488 2932596549 3420342252 3910128732 5130513378 5865193098 6840684504 7820257464 10261026756 11730386196 20522053512 23460772392 45509553853 91019107706 136528661559 182038215412 273057323118 364076430824 409585984677 546114646236 819171969354 1092229292472 1228757954031 1638343938708 2457515908062 3276687877416 4915031816124 9830063632248