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6991769106 = 2327832712467
BaseRepresentation
bin1101000001011110…
…11110111000010010
3200001021020200010100
412200233132320102
5103304343102411
63113441513230
7335156025330
oct64057367022
920037220110
106991769106
112a68742683
121431642816
138756b36aa
144a4816b50
152adc40456
hex1a0bdee12

6991769106 has 96 divisors (see below), whose sum is σ = 17593325568. Its totient is φ = 1965500640.

The previous prime is 6991769089. The next prime is 6991769243. The reversal of 6991769106 is 6019671996.

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 47 ways as a sum of consecutive naturals, for example, 2832885 + ... + 2835351.

It is an arithmetic number, because the mean of its divisors is an integer number (183263808).

Almost surely, 26991769106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6991769106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796662784).

6991769106 is an abundant number, since it is smaller than the sum of its proper divisors (10601556462).

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

6991769106 is a wasteful number, since it uses less digits than its factorization.

6991769106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 6991769106 is about 83616.7991853312. The cubic root of 6991769106 is about 1912.1811204347.

The spelling of 6991769106 in words is "six billion, nine hundred ninety-one million, seven hundred sixty-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 271 498 542 581 747 813 1162 1494 1626 1743 1897 2439 2467 3486 3794 4878 4934 5229 5691 7401 10458 11382 14802 17073 17269 22203 22493 34146 34538 44406 44986 51807 67479 103614 134958 155421 157451 202437 204761 310842 314902 404874 409522 472353 614283 668557 944706 1228566 1337114 1417059 1433327 1842849 2005671 2834118 2866654 3685698 4011342 4299981 4679899 6017013 8599962 9359798 12034026 12899943 14039697 25799886 28079394 42119091 55490231 84238182 110980462 166470693 332941386 388431617 499412079 776863234 998824158 1165294851 2330589702 3495884553 6991769106