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6682421856 = 2531142115031
BaseRepresentation
bin1100011100100110…
…11010101001100000
3122020201011012110210
412032103122221200
5102141144444411
63023031254120
7324411435315
oct61623325140
918221135423
106682421856
11291a0644a0
121365b1a340
13826592196
144756ccd0c
152919d6ca6
hex18e4daa60

6682421856 has 96 divisors (see below), whose sum is σ = 19182756096. Its totient is φ = 2020032000.

The previous prime is 6682421849. The next prime is 6682421861. The reversal of 6682421856 is 6581242866.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437061 + ... + 452091.

It is an arithmetic number, because the mean of its divisors is an integer number (199820376).

Almost surely, 26682421856 is an apocalyptic number.

6682421856 is a gapful number since it is divisible by the number (66) 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 6682421856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591378048).

6682421856 is an abundant number, since it is smaller than the sum of its proper divisors (12500334240).

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

6682421856 is a wasteful number, since it uses less digits than its factorization.

6682421856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15476 (or 15468 counting only the distinct ones).

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

The square root of 6682421856 is about 81746.0815941657. The cubic root of 6682421856 is about 1883.5535114255.

The spelling of 6682421856 in words is "six billion, six hundred eighty-two million, four hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 421 528 842 1056 1263 1684 2526 3368 4631 5052 6736 9262 10104 13472 13893 15031 18524 20208 27786 30062 37048 40416 45093 55572 60124 74096 90186 111144 120248 148192 165341 180372 222288 240496 330682 360744 444576 480992 496023 661364 721488 992046 1322728 1442976 1984092 2645456 3968184 5290912 6328051 7936368 12656102 15872736 18984153 25312204 37968306 50624408 69608561 75936612 101248816 139217122 151873224 202497632 208825683 278434244 303746448 417651366 556868488 607492896 835302732 1113736976 1670605464 2227473952 3341210928 6682421856