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6843085680 = 243535979423
BaseRepresentation
bin1100101111110000…
…10011001101110000
3122122220110202210210
412113320103031300
5103003312220210
63051011024120
7331402161054
oct62770231560
918586422723
106843085680
1129a181a612
1213ab89b040
13850955b32
1448cb91c64
152a0b70e20
hex197e13370

6843085680 has 80 divisors (see below), whose sum is σ = 21272924160. Its totient is φ = 1819716864.

The previous prime is 6843085663. The next prime is 6843085693. The reversal of 6843085680 is 865803486.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46449 + ... + 125871.

It is an arithmetic number, because the mean of its divisors is an integer number (265911552).

Almost surely, 26843085680 is an apocalyptic number.

6843085680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6843085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636462080).

6843085680 is an abundant number, since it is smaller than the sum of its proper divisors (14429838480).

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

6843085680 is a wasteful number, since it uses less digits than its factorization.

6843085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79798 (or 79792 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 6843085680 is about 82722.9453053988. The cubic root of 6843085680 is about 1898.5293957454.

The spelling of 6843085680 in words is "six billion, eight hundred forty-three million, eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 359 718 1077 1436 1795 2154 2872 3590 4308 5385 5744 7180 8616 10770 14360 17232 21540 28720 43080 79423 86160 158846 238269 317692 397115 476538 635384 794230 953076 1191345 1270768 1588460 1906152 2382690 3176920 3812304 4765380 6353840 9530760 19061520 28512857 57025714 85538571 114051428 142564285 171077142 228102856 285128570 342154284 427692855 456205712 570257140 684308568 855385710 1140514280 1368617136 1710771420 2281028560 3421542840 6843085680