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6704343671112 = 233450994121601
BaseRepresentation
bin110000110001111101000…
…0001011110000101001000
3212201221002020102022020000
41201203322001132011020
51334320443434433422
622131533304203000
71261241612635653
oct141437201360510
925657066368200
106704343671112
11215532924748a
1290341b169460
133982a8699a19
141926c5d4889a
15b95de54dcac
hex618fa05e148

6704343671112 has 160 divisors (see below), whose sum is σ = 18836129604600. Its totient is φ = 2227917312000.

The previous prime is 6704343671083. The next prime is 6704343671131. The reversal of 6704343671112 is 2111763434076.

6704343671112 is a `hidden beast` number, since 6 + 7 + 0 + 434 + 36 + 71 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6675329999556 + 29013671556 = 2583666^2 + 170334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310361112 + ... + 310382712.

Almost surely, 26704343671112 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 6704343671112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418064802300).

6704343671112 is an abundant number, since it is smaller than the sum of its proper divisors (12131785933488).

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

6704343671112 is a wasteful number, since it uses less digits than its factorization.

6704343671112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23069 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6704343671112 in words is "six trillion, seven hundred four billion, three hundred forty-three million, six hundred seventy-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 509 648 941 1018 1527 1882 2036 2823 3054 3764 4072 4581 5646 6108 7528 8469 9162 11292 12216 13743 16938 18324 21601 22584 25407 27486 33876 36648 41229 43202 50814 54972 64803 67752 76221 82458 86404 101628 109944 129606 152442 164916 172808 194409 203256 259212 304884 329832 388818 478969 518424 583227 609768 777636 957938 1166454 1436907 1555272 1749681 1915876 2332908 2873814 3499362 3831752 4310721 4665816 5747628 6998724 8621442 10994909 11495256 12932163 13997448 17242884 20326541 21989818 25864326 32984727 34485768 38796489 40653082 43979636 51728652 60979623 65969454 77592978 81306164 87959272 98954181 103457304 121959246 131938908 155185956 162612328 182938869 197908362 243918492 263877816 296862543 310371912 365877738 395816724 487836984 548816607 593725086 731755476 791633448 890587629 1097633214 1187450172 1463510952 1646449821 1781175258 2195266428 2374900344 3292899642 3562350516 4390532856 6585799284 7124701032 10346209369 13171598568 20692418738 31038628107 41384837476 62077256214 82769674952 93115884321 124154512428 186231768642 248309024856 279347652963 372463537284 558695305926 744927074568 838042958889 1117390611852 1676085917778 2234781223704 3352171835556 6704343671112