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6812449120 = 255231979397
BaseRepresentation
bin1100101100000110…
…11011100101100000
3122120202211021100101
412112003123211200
5102422441332440
63043554232144
7330550601461
oct62603334540
918522737311
106812449120
1129864a4944
1213a1585654
138474ba1a9
14488a98d68
1529d11d69a
hex1960db960

6812449120 has 96 divisors (see below), whose sum is σ = 16881213888. Its totient is φ = 2592995328.

The previous prime is 6812449109. The next prime is 6812449129. The reversal of 6812449120 is 219442186.

It is a self number, because there is not a number n which added to its sum of digits gives 6812449120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812449129) 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, 720262 + ... + 729658.

It is an arithmetic number, because the mean of its divisors is an integer number (175845978).

Almost surely, 26812449120 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 6812449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440606944).

6812449120 is an abundant number, since it is smaller than the sum of its proper divisors (10068764768).

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

6812449120 is a wasteful number, since it uses less digits than its factorization.

6812449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9632 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 6812449120 is about 82537.5618733677. The cubic root of 6812449120 is about 1895.6919122922.

The spelling of 6812449120 in words is "six billion, eight hundred twelve million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 197 230 368 394 460 736 788 920 985 1576 1840 1970 3152 3680 3940 4531 6304 7880 9062 9397 15760 18124 18794 22655 31520 36248 37588 45310 46985 72496 75176 90620 93970 144992 150352 181240 187940 216131 300704 362480 375880 432262 724960 751760 864524 1080655 1503520 1729048 1851209 2161310 3458096 3702418 4322620 6916192 7404836 8645240 9256045 14809672 17290480 18512090 29619344 34580960 37024180 42577807 59238688 74048360 85155614 148096720 170311228 212889035 296193440 340622456 425778070 681244912 851556140 1362489824 1703112280 3406224560 6812449120