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68380429408516 = 2279219922632
BaseRepresentation
bin11111000110001000011110…
…01101000101100100000100
322222010002211200211020022201
433203010033031011210010
532430321104412033031
6401233311405004244
720255215533526651
oct1743041715054404
9288102750736281
1068380429408516
111a873a827aa695
127804703553684
132c20329373324
1412c58b7d10c28
157d8aea217d61
hex3e310f345904

68380429408516 has 81 divisors (see below), whose sum is σ = 122276709851751. Its totient is φ = 33460081628688.

The previous prime is 68380429408493. The next prime is 68380429408519. The reversal of 68380429408516 is 61580492408386.

The square root of 68380429408516 is 8269246.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×683804294085163 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68380429408519) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 260001632601 + ... + 260001632863.

Almost surely, 268380429408516 is an apocalyptic number.

68380429408516 is the 8269246-th square number.

It is an amenable number.

68380429408516 is a deficient number, since it is larger than the sum of its proper divisors (53896280443235).

68380429408516 is an frugal number, since it uses more digits than its factorization.

68380429408516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 68380429408516 in words is "sixty-eight trillion, three hundred eighty billion, four hundred twenty-nine million, four hundred eight thousand, five hundred sixteen".

Divisors: 1 2 4 79 158 199 263 316 398 526 796 1052 6241 12482 15721 20777 24964 31442 39601 41554 52337 62884 69169 79202 83108 104674 138338 158404 209348 276676 1241959 1641383 2483918 3128479 3282766 4134623 4967836 5464351 6256958 6565532 8269246 10415063 10928702 12513916 13764631 16538492 20830126 21857404 27529262 41660252 55058524 247149841 326635217 431683729 494299682 653270434 822789977 863367458 988599364 1087405849 1306540868 1645579954 1726734916 2174811698 2739161569 3291159908 4349623396 5478323138 10956646276 65000408183 85905062071 130000816366 171810124142 216393763951 260001632732 343620248284 432787527902 865575055804 17095107352129 34190214704258 68380429408516