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6676565490 = 2325798310781
BaseRepresentation
bin1100011011111010…
…00100110111110010
3122020022010200001100
412031331010313302
5102133200043430
63022301545230
7324310604340
oct61575046762
918208120040
106676565490
112916824521
121363b75216
138252c168a
14474a06990
1529122b960
hex18df44df2

6676565490 has 96 divisors (see below), whose sum is σ = 19860961536. Its totient is φ = 1524378240.

The previous prime is 6676565459. The next prime is 6676565491. The reversal of 6676565490 is 945656766.

6676565490 is a `hidden beast` number, since 6 + 6 + 76 + 565 + 4 + 9 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6676565491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 613900 + ... + 624680.

It is an arithmetic number, because the mean of its divisors is an integer number (206885016).

Almost surely, 26676565490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6676565490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930480768).

6676565490 is an abundant number, since it is smaller than the sum of its proper divisors (13184396046).

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

6676565490 is a wasteful number, since it uses less digits than its factorization.

6676565490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6676565490 is about 81710.2532733806. The cubic root of 6676565490 is about 1883.0031120369.

The spelling of 6676565490 in words is "six billion, six hundred seventy-six million, five hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 983 1966 2949 4915 5898 6881 8847 9830 10781 13762 14745 17694 20643 21562 29490 32343 34405 41286 44235 53905 61929 64686 68810 75467 88470 97029 103215 107810 123858 150934 161715 194058 206430 226401 309645 323430 377335 452802 485145 619290 679203 754670 970290 1132005 1358406 2264010 3396015 6792030 10597723 21195446 31793169 52988615 63586338 74184061 95379507 105977230 148368122 158965845 190759014 222552183 317931690 370920305 445104366 476897535 667656549 741840610 953795070 1112760915 1335313098 2225521830 3338282745 6676565490