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3393926193168 = 2432710930889819
BaseRepresentation
bin110001011000110101110…
…000111110000000010000
3110000110022112220021211100
4301120311300332000100
5421101230101140133
611115052000544400
7500126440436340
oct61306560760020
913013275807740
103393926193168
1110993a0947105
12469923022100
131b80799cccb4
14ba3a4556d20
155d43ccc5e13
hex31635c3e010

3393926193168 has 120 divisors (see below), whose sum is σ = 10954765764800. Its totient is φ = 960796899072.

The previous prime is 3393926193149. The next prime is 3393926193197. The reversal of 3393926193168 is 8613916293933.

3393926193168 is a `hidden beast` number, since 3 + 3 + 9 + 3 + 9 + 2 + 619 + 3 + 1 + 6 + 8 = 666.

It is a super-3 number, since 3×33939261931683 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15335038 + ... + 15554781.

Almost surely, 23393926193168 is an apocalyptic number.

It is an amenable number.

3393926193168 is an abundant number, since it is smaller than the sum of its proper divisors (7560839571632).

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

3393926193168 is a wasteful number, since it uses less digits than its factorization.

3393926193168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30889949 (or 30889940 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 3393926193168 in words is "three trillion, three hundred ninety-three billion, nine hundred twenty-six million, one hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 654 763 872 981 1008 1308 1526 1744 1962 2289 2616 3052 3924 4578 5232 6104 6867 7848 9156 12208 13734 15696 18312 27468 36624 54936 109872 30889819 61779638 92669457 123559276 185338914 216228733 247118552 278008371 370677828 432457466 494237104 556016742 648686199 741355656 864914932 1112033484 1297372398 1482711312 1729829864 1946058597 2224066968 2594744796 3366990271 3459659728 3892117194 4448133936 5189489592 6733980542 7784234388 10100970813 10378979184 13467961084 15568468776 20201941626 23568931897 26935922168 30302912439 31136937552 40403883252 47137863794 53871844336 60605824878 70706795691 80807766504 94275727588 121211649756 141413591382 161615533008 188551455176 212120387073 242423299512 282827182764 377102910352 424240774146 484846599024 565654365528 848481548292 1131308731056 1696963096584 3393926193168