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8673493680 = 2432519076317
BaseRepresentation
bin10000001001111101…
…10000001010110000
3211101110201010112200
420010332300022300
5120230403244210
63552355023200
7424636323405
oct100476601260
924343633480
108673493680
113750a631a5
12182089ab00
13a82c317a7
145c3d022ac
1535b6d40c0
hex204fb02b0

8673493680 has 120 divisors (see below), whose sum is σ = 29148370992. Its totient is φ = 2311352832.

The previous prime is 8673493679. The next prime is 8673493691. The reversal of 8673493680 is 863943768.

8673493680 is a `hidden beast` number, since 8 + 6 + 73 + 493 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369882 + ... + 1376198.

Almost surely, 28673493680 is an apocalyptic number.

8673493680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8673493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574185496).

8673493680 is an abundant number, since it is smaller than the sum of its proper divisors (20474877312).

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

8673493680 is a wasteful number, since it uses less digits than its factorization.

8673493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8234 counting only the distinct ones).

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

The square root of 8673493680 is about 93131.5933504845. The cubic root of 8673493680 is about 2054.6192627616.

The spelling of 8673493680 in words is "eight billion, six hundred seventy-three million, four hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1907 3814 5721 6317 7628 9535 11442 12634 15256 17163 18951 19070 22884 25268 28605 30512 31585 34326 37902 38140 45768 50536 56853 57210 63170 68652 75804 76280 85815 91536 94755 101072 113706 114420 126340 137304 151608 152560 171630 189510 227412 228840 252680 274608 284265 303216 343260 379020 454824 457680 505360 568530 686520 758040 909648 1137060 1373040 1516080 2274120 4548240 12046519 24093038 36139557 48186076 60232595 72279114 96372152 108418671 120465190 144558228 180697785 192744304 216837342 240930380 289116456 361395570 433674684 481860760 542093355 578232912 722791140 867349368 963721520 1084186710 1445582280 1734698736 2168373420 2891164560 4336746840 8673493680