Search a number
-
+
6093984512 = 287111731787
BaseRepresentation
bin1011010110011101…
…01101001100000000
3120201200220111012002
411223032231030000
544440030001022
62444411123132
7304005004460
oct55316551400
916650814162
106093984512
112647993840
121220a434a8
137616b44c5
1441b4b5ba0
1525a000092
hex16b3ad300

6093984512 has 144 divisors (see below), whose sum is σ = 15261910272. Its totient is φ = 2359234560.

The previous prime is 6093984497. The next prime is 6093984521. The reversal of 6093984512 is 2154893906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3409283 + ... + 3411069.

It is an arithmetic number, because the mean of its divisors is an integer number (105985488).

Almost surely, 26093984512 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 6093984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630955136).

6093984512 is an abundant number, since it is smaller than the sum of its proper divisors (9167925760).

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

6093984512 is a wasteful number, since it uses less digits than its factorization.

6093984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 6093984512 is about 78063.9770444730. The cubic root of 6093984512 is about 1826.5593240301.

The spelling of 6093984512 in words is "six billion, ninety-three million, nine hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 173 176 224 256 308 346 352 448 616 692 704 896 1211 1232 1384 1408 1787 1792 1903 2422 2464 2768 2816 3574 3806 4844 4928 5536 7148 7612 9688 9856 11072 12509 13321 14296 15224 19376 19657 19712 22144 25018 26642 28592 30448 38752 39314 44288 50036 53284 57184 60896 77504 78628 100072 106568 114368 121792 137599 155008 157256 200144 213136 228736 243584 275198 309151 310016 314512 400288 426272 457472 487168 550396 618302 629024 800576 852544 1100792 1236604 1258048 1601152 1705088 2164057 2201584 2473208 2516096 3202304 3400661 3410176 4328114 4403168 4946416 5032192 6801322 8656228 8806336 9892832 13602644 17312456 17612672 19785664 23804627 27205288 34624912 35225344 39571328 47609254 54410576 69249824 79142656 95218508 108821152 138499648 190437016 217642304 276999296 380874032 435284608 553998592 761748064 870569216 1523496128 3046992256 6093984512