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6507346668 = 223231071791231
BaseRepresentation
bin1100000111101111…
…00011101011101100
3121210111201110110120
412003313203223230
5101311340043133
62553415004540
7320154351114
oct60367435354
917714643416
106507346668
11283a255959
121317369750
137c9223ab4
1445a358044
15281452ab3
hex183de3aec

6507346668 has 96 divisors (see below), whose sum is σ = 16094453760. Its totient is φ = 2042272320.

The previous prime is 6507346633. The next prime is 6507346687. The reversal of 6507346668 is 8666437056.

It is a self number, because there is not a number n which added to its sum of digits gives 6507346668.

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 31 ways as a sum of consecutive naturals, for example, 5285613 + ... + 5286843.

It is an arithmetic number, because the mean of its divisors is an integer number (167650560).

Almost surely, 26507346668 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 6507346668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047226880).

6507346668 is an abundant number, since it is smaller than the sum of its proper divisors (9587107092).

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

6507346668 is a wasteful number, since it uses less digits than its factorization.

6507346668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The square root of 6507346668 is about 80668.1267168142. The cubic root of 6507346668 is about 1866.9584295789.

The spelling of 6507346668 in words is "six billion, five hundred seven million, three hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 179 214 276 321 358 428 537 642 716 1074 1231 1284 2148 2461 2462 3693 4117 4922 4924 7383 7386 8234 9844 12351 14766 14772 16468 19153 24702 28313 29532 38306 49404 56626 57459 76612 84939 113252 114918 131717 169878 220349 229836 263434 339756 395151 440519 440698 526868 661047 790302 881038 881396 1321557 1322094 1580604 1762076 2643114 2644188 3029491 5068027 5286228 6058982 9088473 10136054 12117964 15204081 18176946 20272108 23577343 30408162 36353892 47154686 60816324 70732029 94309372 141464058 282928116 542278889 1084557778 1626836667 2169115556 3253673334 6507346668