Search a number
-
+
6448678080 = 263513516721
BaseRepresentation
bin1100000000101111…
…10000010011000000
3121122102022210021220
412000113300103000
5101201330144310
62543521315040
7315542600505
oct60027602300
917572283256
106448678080
11280a124319
1212bb795a80
137ba021b60
144526454ac
1527b214670
hex1805f04c0

6448678080 has 112 divisors (see below), whose sum is σ = 22049561184. Its totient is φ = 1587363840.

The previous prime is 6448678043. The next prime is 6448678087. The reversal of 6448678080 is 808768446.

It is not an unprimeable number, because it can be changed into a prime (6448678087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245881 + ... + 270840.

It is an arithmetic number, because the mean of its divisors is an integer number (196871082).

Almost surely, 26448678080 is an apocalyptic number.

6448678080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6448678080 is an abundant number, since it is smaller than the sum of its proper divisors (15600883104).

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

6448678080 is a wasteful number, since it uses less digits than its factorization.

6448678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516754 (or 516744 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 6448678080 is about 80303.6616848821. The cubic root of 6448678080 is about 1861.3308084920.

The spelling of 6448678080 in words is "six billion, four hundred forty-eight million, six hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 516721 1033442 1550163 2066884 2583605 3100326 4133768 5167210 6200652 6717373 7750815 8267536 10334420 12401304 13434746 15501630 16535072 20152119 20668840 24802608 26869492 31003260 33070144 33586865 40304238 41337680 49605216 53738984 62006520 67173730 80608476 82675360 99210432 100760595 107477968 124013040 134347460 161216952 165350720 201521190 214955936 248026080 268694920 322433904 403042380 429911872 496052160 537389840 644867808 806084760 1074779680 1289735616 1612169520 2149559360 3224339040 6448678080