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6768238328676 = 22321121553773721
BaseRepresentation
bin110001001111101101001…
…1100001111101101100100
3212222001000011111012202200
41202133122130033231210
51341342323003004201
622221141420334500
71265663153364306
oct142373234175544
925861004435680
106768238328676
11217a4370a8400
129138913a4430
133a131bc841c6
14195827b6d976
15bb0cdb69386
hex627da70fb64

6768238328676 has 54 divisors (see below), whose sum is σ = 18805323357366. Its totient is φ = 2050981310400.

The previous prime is 6768238328653. The next prime is 6768238328701.

6768238328676 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 238 + 328 + 67 + 6 = 666.

6768238328676 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 6762080160000 + 6158168676 = 2600400^2 + 78474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 776882505 + ... + 776891216.

Almost surely, 26768238328676 is an apocalyptic number.

6768238328676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6768238328676 is an abundant number, since it is smaller than the sum of its proper divisors (12037085028690).

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

6768238328676 is a wasteful number, since it uses less digits than its factorization.

6768238328676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553773753 (or 1553773737 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 6768238328676 in words is "six trillion, seven hundred sixty-eight billion, two hundred thirty-eight million, three hundred twenty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 1553773721 3107547442 4661321163 6215094884 9322642326 13983963489 17091510931 18645284652 27967926978 34183021862 51274532793 55935853956 68366043724 102549065586 153823598379 188006620241 205098131172 307647196758 376013240482 564019860723 615294393516 752026480964 1128039721446 1692059582169 2256079442892 3384119164338 6768238328676