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6678385840 = 245753832711
BaseRepresentation
bin1100011100001000…
…00001010010110000
3122020102120011002201
412032010001102300
5102134131321330
63022404552544
7324332225440
oct61604012260
918212504081
106678385840
112917858145
1213646b2754
138257ab0c9
14474d5c120
1529148aeca
hex18e1014b0

6678385840 has 160 divisors (see below), whose sum is σ = 18304828416. Its totient is φ = 2218644480.

The previous prime is 6678385811. The next prime is 6678385841. The reversal of 6678385840 is 485838766.

It is not an unprimeable number, because it can be changed into a prime (6678385841) 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 31 ways as a sum of consecutive naturals, for example, 2462085 + ... + 2464795.

Almost surely, 26678385840 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 6678385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152414208).

6678385840 is an abundant number, since it is smaller than the sum of its proper divisors (11626442576).

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

6678385840 is a wasteful number, since it uses less digits than its factorization.

6678385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The square root of 6678385840 is about 81721.3915691602. The cubic root of 6678385840 is about 1883.1742286211.

The spelling of 6678385840 in words is "six billion, six hundred seventy-eight million, three hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 83 106 112 140 166 212 265 280 332 371 415 424 530 560 581 664 742 830 848 1060 1162 1328 1484 1660 1855 2120 2324 2711 2905 2968 3320 3710 4240 4399 4648 5422 5810 5936 6640 7420 8798 9296 10844 11620 13555 14840 17596 18977 21688 21995 23240 27110 29680 30793 35192 37954 43376 43990 46480 54220 61586 70384 75908 87980 94885 108440 123172 143683 151816 153965 175960 189770 216880 225013 246344 287366 303632 307930 351920 379540 450026 492688 574732 615860 718415 759080 900052 1005781 1125065 1149464 1231720 1436830 1518160 1575091 1800104 2011562 2250130 2298928 2463440 2873660 3150182 3600208 4023124 4500260 5028905 5747320 6300364 7875455 8046248 9000520 10057810 11494640 11925689 12600728 15750910 16092496 18001040 20115620 23851378 25201456 31501820 40231240 47702756 59628445 63003640 80462480 83479823 95405512 119256890 126007280 166959646 190811024 238513780 333919292 417399115 477027560 667838584 834798230 954055120 1335677168 1669596460 3339192920 6678385840