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6819711808 = 2672134092
BaseRepresentation
bin1100101100111110…
…01000101101000000
3122121021111020212211
412112133020231000
5102431321234213
63044414031504
7330666410500
oct62637105500
918537436784
106819711808
11298a605468
1213a3aa8594
13848b60b40
14489a29a00
1529daa553d
hex1967c8b40

6819711808 has 126 divisors (see below), whose sum is σ = 16994812086. Its totient is φ = 2691311616.

The previous prime is 6819711763. The next prime is 6819711827. The reversal of 6819711808 is 8081179186.

It can be written as a sum of positive squares in 3 ways, for example, as 2729853504 + 4089858304 = 52248^2 + 63952^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16673908 + ... + 16674316.

It is an arithmetic number, because the mean of its divisors is an integer number (134879461).

Almost surely, 26819711808 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 6819711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497406043).

6819711808 is an abundant number, since it is smaller than the sum of its proper divisors (10175100278).

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

6819711808 is an equidigital number, since it uses as much as digits as its factorization.

6819711808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 49.

The square root of 6819711808 is about 82581.5464132272. The cubic root of 6819711808 is about 1896.3653328186.

The spelling of 6819711808 in words is "six billion, eight hundred nineteen million, seven hundred eleven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 409 416 448 637 728 784 818 832 1274 1456 1568 1636 2548 2863 2912 3136 3272 5096 5317 5726 5824 6544 10192 10634 11452 13088 20041 20384 21268 22904 26176 37219 40082 40768 42536 45808 74438 80164 85072 91616 148876 160328 167281 170144 183232 260533 297752 320656 334562 340288 521066 595504 641312 669124 1042132 1170967 1191008 1282624 1338248 2084264 2174653 2341934 2382016 2676496 4168528 4349306 4683868 5352992 8196769 8337056 8698612 9367736 10705984 15222571 16393538 16674112 17397224 18735472 30445142 32787076 34794448 37470944 60890284 65574152 69588896 74941888 106557997 121780568 131148304 139177792 213115994 243561136 262296608 426231988 487122272 524593216 852463976 974244544 1704927952 3409855904 6819711808