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6793386084 = 22341922412
BaseRepresentation
bin1100101001110101…
…01101100001100100
3122112102221202210000
412110322231201210
5102403101323314
63042033501300
7330226554222
oct62472554144
918472852700
106793386084
112976764571
121397111830
138435743a4
14486335b12
1529b605209
hex194ead864

6793386084 has 135 divisors (see below), whose sum is σ = 18821240361. Its totient is φ = 2136378240.

The previous prime is 6793386077. The next prime is 6793386121. The reversal of 6793386084 is 4806833976.

The square root of 6793386084 is 82422.

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

It can be written as a sum of positive squares in only one way, i.e., 5109104484 + 1684281600 = 71478^2 + 41040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6793386084.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28188204 + ... + 28188444.

Almost surely, 26793386084 is an apocalyptic number.

6793386084 is the 82422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6793386084

6793386084 is an abundant number, since it is smaller than the sum of its proper divisors (12027854277).

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

6793386084 is a wasteful number, since it uses less digits than its factorization.

6793386084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The cubic root of 6793386084 is about 1893.9220444813.

The spelling of 6793386084 in words is "six billion, seven hundred ninety-three million, three hundred eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 241 324 342 361 482 513 684 722 723 964 1026 1083 1444 1446 1539 2052 2166 2169 2892 3078 3249 4332 4338 4579 6156 6498 6507 8676 9158 9747 12996 13014 13737 18316 19494 19521 26028 27474 29241 38988 39042 41211 54948 58081 58482 78084 82422 87001 116162 116964 123633 164844 174002 174243 232324 247266 261003 348004 348486 370899 494532 522006 522729 696972 741798 783009 1044012 1045458 1103539 1483596 1566018 1568187 2090916 2207078 2349027 3132036 3136374 3310617 4414156 4698054 4704561 6272748 6621234 7047081 9396108 9409122 9931851 13242468 14094162 18818244 19863702 20967241 28188324 29795553 39727404 41934482 59591106 62901723 83868964 89386659 119182212 125803446 178773318 188705169 251606892 357546636 377410338 566115507 754820676 1132231014 1698346521 2264462028 3396693042 6793386084