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785067680008668 = 223727574084943177
BaseRepresentation
bin1011001010000000111101000…
…0001100010000100111011100
310210221200201220110001112002210
42302200033100030100213130
51310400022102040234133
611421411040245520420
7324235160653101600
oct26240172014204734
93727621813045083
10785067680008668
11208168373768a81
1274073461713110
132790974546c034
14dbc169ac3d500
1560b662a6d8763
hex2ca03d03109dc

785067680008668 has 144 divisors (see below), whose sum is σ = 2133814566458400. Its totient is φ = 223998071721984.

The previous prime is 785067680008639. The next prime is 785067680008669. The reversal of 785067680008668 is 866800086760587.

It is a self number, because there is not a number n which added to its sum of digits gives 785067680008668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785067680008669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18182521896 + ... + 18182565072.

Almost surely, 2785067680008668 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 785067680008668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066907283229200).

785067680008668 is an abundant number, since it is smaller than the sum of its proper divisors (1348746886449732).

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

785067680008668 is a wasteful number, since it uses less digits than its factorization.

785067680008668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84804 (or 84795 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 785067680008668 in words is "seven hundred eighty-five trillion, sixty-seven billion, six hundred eighty million, eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 757 1514 2271 3028 4542 5299 9084 10598 15897 21196 31794 37093 40849 43177 63588 74186 81698 86354 111279 122547 129531 148372 163396 172708 222558 245094 259062 285943 302239 445116 490188 518124 571886 604478 857829 906717 1143772 1208956 1715658 1813434 2001601 2115673 3431316 3626868 4003202 4231346 6004803 6347019 8006404 8462692 12009606 12694038 24019212 25388076 30922693 32684989 61845386 65369978 92768079 98054967 123690772 130739956 185536158 196109934 216458851 228794923 371072316 392219868 432917702 457589846 649376553 686384769 865835404 915179692 1298753106 1372769538 1515211957 1601564461 1763737273 2597506212 2745539076 3030423914 3203128922 3527474546 4545635871 4804693383 5291211819 6060847828 6406257844 7054949092 9091271742 9609386766 10582423638 12346160911 18182543484 19218773532 21164847276 24692321822 37038482733 49384643644 74076965466 86423126377 148153930932 172846252754 259269379131 345692505508 518538758262 1037077516524 1335149115661 2670298231322 4005447346983 5340596462644 8010894693966 9346043809627 16021789387932 18692087619254 28038131428881 37384175238508 56076262857762 65422306667389 112152525715524 130844613334778 196266920002167 261689226669556 392533840004334 785067680008668