Search a number
-
+
6668007696 = 2433714711499
BaseRepresentation
bin1100011010111000…
…11011100100010000
3122012201000212222000
412031130123210100
5102124002221241
63021354314000
7324145062450
oct61534334420
918181025860
106668007696
112911a09969
121361128900
138235b63ac
14473819d60
152905daeb6
hex18d71b910

6668007696 has 160 divisors (see below), whose sum is σ = 21903360000. Its totient is φ = 1902579840.

The previous prime is 6668007677. The next prime is 6668007727. The reversal of 6668007696 is 6967008666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4447555 + ... + 4449053.

It is an arithmetic number, because the mean of its divisors is an integer number (136896000).

Almost surely, 26668007696 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 6668007696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951680000).

6668007696 is an abundant number, since it is smaller than the sum of its proper divisors (15235352304).

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

6668007696 is a wasteful number, since it uses less digits than its factorization.

6668007696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6668007696 is about 81657.8697738314. The cubic root of 6668007696 is about 1882.1982449932.

The spelling of 6668007696 in words is "six billion, six hundred sixty-eight million, seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1471 1499 1512 2942 2998 3024 4413 4497 5884 5996 8826 8994 10297 10493 11768 11992 13239 13491 17652 17988 20594 20986 23536 23984 26478 26982 30891 31479 35304 35976 39717 40473 41188 41972 52956 53964 61782 62958 70608 71952 79434 80946 82376 83944 92673 94437 105912 107928 123564 125916 158868 161892 164752 167888 185346 188874 211824 215856 247128 251832 278019 283311 317736 323784 370692 377748 494256 503664 556038 566622 635472 647568 741384 755496 1112076 1133244 1482768 1510992 2205029 2224152 2266488 4410058 4448304 4532976 6615087 8820116 13230174 15435203 17640232 19845261 26460348 30870406 35280464 39690522 46305609 52920696 59535783 61740812 79381044 92611218 105841392 119071566 123481624 138916827 158762088 185222436 238143132 246963248 277833654 317524176 370444872 416750481 476286264 555667308 740889744 833500962 952572528 1111334616 1667001924 2222669232 3334003848 6668007696