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10304660502304 = 257193458352009
BaseRepresentation
bin1001010111110011110110…
…1000001111011100100000
31100111010010111201022211221
42111330331220033130200
52322312421042033204
633525521244544424
72112326044031140
oct225747550173440
940433114638757
1010304660502304
113313200236713
1211a5141b52114
13599957698bac
14278a691da920
1512d0ab846654
hex95f3da0f720

10304660502304 has 96 divisors (see below), whose sum is σ = 23311151619840. Its totient is φ = 4392357691392.

The previous prime is 10304660502281. The next prime is 10304660502313. The reversal of 10304660502304 is 40320506640301.

It is a self number, because there is not a number n which added to its sum of digits gives 10304660502304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198106252 + ... + 198158260.

It is an arithmetic number, because the mean of its divisors is an integer number (242824496040).

Almost surely, 210304660502304 is an apocalyptic number.

10304660502304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304660502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655575809920).

10304660502304 is an abundant number, since it is smaller than the sum of its proper divisors (13006491117536).

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

10304660502304 is a wasteful number, since it uses less digits than its factorization.

10304660502304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56802 (or 56794 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 10304660502304 in words is "ten trillion, three hundred four billion, six hundred sixty million, five hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 4583 5404 6176 9166 10808 18332 21616 32081 36664 43232 52009 64162 73328 104018 128324 146656 208036 256648 364063 416072 513296 728126 832144 884519 1026592 1456252 1664288 1769038 2912504 3538076 5825008 6191633 7076152 10037737 11650016 12383266 14152304 20075474 24766532 28304608 40150948 49533064 70264159 80301896 99066128 140528318 160603792 198132256 238357247 281056636 321207584 476714494 562113272 953428988 1124226544 1668500729 1906857976 2248453088 3337001458 3813715952 6674002916 7627431904 13348005832 26696011664 46002948671 53392023328 92005897342 184011794684 322020640697 368023589368 644041281394 736047178736 1288082562788 1472094357472 2576165125576 5152330251152 10304660502304