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6688422864 = 2432198329453
BaseRepresentation
bin1100011101010100…
…10011101111010000
3122021010110002022100
412032222103233100
5102144214012424
63023404040400
7324513441054
oct61652235720
918233402270
106688422864
112922493102
121367b33100
138278b3786
14476411c64
152922bedc9
hex18ea93bd0

6688422864 has 120 divisors (see below), whose sum is σ = 19941536160. Its totient is φ = 2086615296.

The previous prime is 6688422857. The next prime is 6688422893. The reversal of 6688422864 is 4682248866.

6688422864 is a `hidden beast` number, since 66 + 88 + 422 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6688422864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212362 + ... + 241814.

It is an arithmetic number, because the mean of its divisors is an integer number (166179468).

Almost surely, 26688422864 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 6688422864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9970768080).

6688422864 is an abundant number, since it is smaller than the sum of its proper divisors (13253113296).

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

6688422864 is a wasteful number, since it uses less digits than its factorization.

6688422864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29569 (or 29560 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 6688422864 is about 81782.7785294679. The cubic root of 6688422864 is about 1884.1171712324.

The spelling of 6688422864 in words is "six billion, six hundred eighty-eight million, four hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 684 747 912 996 1328 1368 1494 1577 1992 2736 2988 3154 3984 4731 5976 6308 9462 11952 12616 14193 18924 25232 28386 29453 37848 56772 58906 75696 88359 113544 117812 176718 227088 235624 265077 353436 471248 530154 559607 706872 1060308 1119214 1413744 1678821 2120616 2238428 2444599 3357642 4241232 4476856 4889198 5036463 6715284 7333797 8953712 9778396 10072926 13430568 14667594 19556792 20145852 22001391 26861136 29335188 39113584 40291704 44002782 46447381 58670376 80583408 88005564 92894762 117340752 139342143 176011128 185789524 278684286 352022256 371579048 418026429 557368572 743158096 836052858 1114737144 1672105716 2229474288 3344211432 6688422864