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6681278000 = 245341591381
BaseRepresentation
bin1100011100011110…
…00011011000110000
3122020122000002101202
412032033003120300
5102140401344000
63022550550332
7324365632415
oct61617033060
918218002352
106681278000
112919453061
1213656683a8
13826281647
144754b210c
1529185cdd5
hex18e3c3630

6681278000 has 160 divisors (see below), whose sum is σ = 16842047040. Its totient is φ = 2561280000.

The previous prime is 6681277991. The next prime is 6681278003. The reversal of 6681278000 is 8721866.

It is not an unprimeable number, because it can be changed into a prime (6681278003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4837310 + ... + 4838690.

It is an arithmetic number, because the mean of its divisors is an integer number (105262794).

Almost surely, 26681278000 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 6681278000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421023520).

6681278000 is an abundant number, since it is smaller than the sum of its proper divisors (10160769040).

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

6681278000 is a wasteful number, since it uses less digits than its factorization.

6681278000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 6681278000 is about 81739.0848982297. The cubic root of 6681278000 is about 1883.4460335791.

Adding to 6681278000 its reverse (8721866), we get a palindrome (6689999866).

The spelling of 6681278000 in words is "six billion, six hundred eighty-one million, two hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 59 80 82 100 118 125 164 200 205 236 250 295 328 400 410 472 500 590 656 820 944 1000 1025 1180 1381 1475 1640 2000 2050 2360 2419 2762 2950 3280 4100 4720 4838 5125 5524 5900 6905 7375 8200 9676 10250 11048 11800 12095 13810 14750 16400 19352 20500 22096 23600 24190 27620 29500 34525 38704 41000 48380 55240 56621 59000 60475 69050 81479 82000 96760 110480 113242 118000 120950 138100 162958 172625 193520 226484 241900 276200 283105 302375 325916 345250 407395 452968 483800 552400 566210 604750 651832 690500 814790 905936 967600 1132420 1209500 1303664 1381000 1415525 1629580 2036975 2264840 2419000 2762000 2831050 3259160 3340639 4073950 4529680 4838000 5662100 6518320 6681278 7077625 8147900 10184875 11324200 13362556 14155250 16295800 16703195 20369750 22648400 26725112 28310500 32591600 33406390 40739500 53450224 56621000 66812780 81479000 83515975 113242000 133625560 162958000 167031950 267251120 334063900 417579875 668127800 835159750 1336255600 1670319500 3340639000 6681278000