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6812471328 = 2531320272693
BaseRepresentation
bin1100101100000111…
…00001000000100000
3122120202212101210220
412112003201000200
5102422443040303
63043554523040
7330551023305
oct62603410040
918522771726
106812471328
11298650a5a3
1213a1596480
138474c7330
14488aa30ac
1529d125053
hex1960e1020

6812471328 has 96 divisors (see below), whose sum is σ = 19274988096. Its totient is φ = 2094332928.

The previous prime is 6812471327. The next prime is 6812471423. The reversal of 6812471328 is 8231742186.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6812471328.

It is not an unprimeable number, because it can be changed into a prime (6812471327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2528350 + ... + 2531042.

It is an arithmetic number, because the mean of its divisors is an integer number (200781126).

Almost surely, 26812471328 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 6812471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637494048).

6812471328 is an abundant number, since it is smaller than the sum of its proper divisors (12462516768).

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

6812471328 is a wasteful number, since it uses less digits than its factorization.

6812471328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 6812471328 is about 82537.6964059453. The cubic root of 6812471328 is about 1895.6939722210.

The spelling of 6812471328 in words is "six billion, eight hundred twelve million, four hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2027 2693 4054 5386 6081 8079 8108 10772 12162 16158 16216 21544 24324 26351 32316 32432 35009 43088 48648 52702 64632 64864 70018 79053 86176 97296 105027 105404 129264 140036 158106 194592 210054 210808 258528 280072 316212 420108 421616 560144 632424 840216 843232 1120288 1264848 1680432 2529696 3360864 5458711 10917422 16376133 21834844 32752266 43669688 65504532 70963243 87339376 131009064 141926486 174678752 212889729 262018128 283852972 425779458 524036256 567705944 851558916 1135411888 1703117832 2270823776 3406235664 6812471328