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6673908480 = 283512771361
BaseRepresentation
bin1100011011100101…
…11100001100000000
3122020010010200022120
412031302330030000
5102132010032410
63022125004240
7324246200061
oct61562741400
918203120276
106673908480
11291527a248
1213630b3680
138248a1195
14474514568
15290da4570
hex18dcbc300

6673908480 has 144 divisors (see below), whose sum is σ = 21347159904. Its totient is φ = 1777008640.

The previous prime is 6673908457. The next prime is 6673908497. The reversal of 6673908480 is 848093766.

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, 4903000 + ... + 4904360.

It is an arithmetic number, because the mean of its divisors is an integer number (148244166).

Almost surely, 26673908480 is an apocalyptic number.

6673908480 is a gapful number since it is divisible by the number (60) 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 6673908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673579952).

6673908480 is an abundant number, since it is smaller than the sum of its proper divisors (14673251424).

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

6673908480 is a wasteful number, since it uses less digits than its factorization.

6673908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6673908480 is about 81693.9929248167. The cubic root of 6673908480 is about 1882.7532918792.

The spelling of 6673908480 in words is "six billion, six hundred seventy-three million, nine hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1277 1280 1361 1920 2554 2722 3831 3840 4083 5108 5444 6385 6805 7662 8166 10216 10888 12770 13610 15324 16332 19155 20415 20432 21776 25540 27220 30648 32664 38310 40830 40864 43552 51080 54440 61296 65328 76620 81660 81728 87104 102160 108880 122592 130656 153240 163320 163456 174208 204320 217760 245184 261312 306480 326640 326912 348416 408640 435520 490368 522624 612960 653280 817280 871040 980736 1045248 1225920 1306560 1634560 1737997 1742080 2451840 2613120 3475994 4903680 5213991 5226240 6951988 8689985 10427982 13903976 17379970 20855964 26069955 27807952 34759940 41711928 52139910 55615904 69519880 83423856 104279820 111231808 139039760 166847712 208559640 222463616 278079520 333695424 417119280 444927232 556159040 667390848 834238560 1112318080 1334781696 1668477120 2224636160 3336954240 6673908480