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681668232200 = 23527927392
BaseRepresentation
bin10011110101101101001…
…01111100010000001000
32102011111122001002211222
421322312211330100020
542132024031412300
61241053135541212
7100151242241234
oct11726645742010
92364448032758
10681668232200
11243103a4517a
12b014138a808
134c386598067
1424dc87d55c4
1512ae9a17785
hex9eb697c408

681668232200 has 108 divisors (see below), whose sum is σ = 1607369397165. Its totient is φ = 268851510720.

The previous prime is 681668232191. The next prime is 681668232229. The reversal of 681668232200 is 2232866186.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 668034867556 + 13633364644 = 817334^2 + 116762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=583810.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 922419431 + ... + 922420169.

Almost surely, 2681668232200 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 681668232200

681668232200 is an abundant number, since it is smaller than the sum of its proper divisors (925701164965).

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

681668232200 is an frugal number, since it uses more digits than its factorization.

681668232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 681668232200 in words is "six hundred eighty-one billion, six hundred sixty-eight million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 739 790 1478 1580 1975 2956 3160 3695 3950 5912 6241 7390 7900 12482 14780 15800 18475 24964 29560 31205 36950 49928 58381 62410 73900 116762 124820 147800 156025 233524 249640 291905 312050 467048 546121 583810 624100 1092242 1167620 1248200 1459525 2184484 2335240 2730605 2919050 4368968 4612099 5461210 5838100 9224198 10922420 11676200 13653025 18448396 21844840 23060495 27306050 36896792 43143559 46120990 54612100 86287118 92241980 109224200 115302475 172574236 184483960 215717795 230604950 345148472 431435590 461209900 862871180 922419800 1078588975 1725742360 2157177950 3408341161 4314355900 6816682322 8628711800 13633364644 17041705805 27266729288 34083411610 68166823220 85208529025 136333646440 170417058050 340834116100 681668232200