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8085659040 = 2532516733623
BaseRepresentation
bin1111000011111000…
…10101110110100000
3202212111121001000100
413201330111312200
5113024412042130
63414155422400
7404240652654
oct74174256640
922774531010
108085659040
11347a164348
121697a54a00
139bb205244
14569c04a64
15324cbac60
hex1e1f15da0

8085659040 has 144 divisors (see below), whose sum is σ = 27758360448. Its totient is φ = 2143200768.

The previous prime is 8085659011. The next prime is 8085659047. The reversal of 8085659040 is 409565808.

8085659040 is a `hidden beast` number, since 8 + 0 + 8 + 56 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×80856590402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8085659047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 223669 + ... + 257291.

It is an arithmetic number, because the mean of its divisors is an integer number (192766392).

Almost surely, 28085659040 is an apocalyptic number.

8085659040 is a gapful number since it is divisible by the number (80) 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 8085659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879180224).

8085659040 is an abundant number, since it is smaller than the sum of its proper divisors (19672701408).

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

8085659040 is a wasteful number, since it uses less digits than its factorization.

8085659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33811 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8085659040 is about 89920.2927041499. The cubic root of 8085659040 is about 2007.1129264826.

The spelling of 8085659040 in words is "eight billion, eighty-five million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 167 180 240 288 334 360 480 501 668 720 835 1002 1336 1440 1503 1670 2004 2505 2672 3006 3340 4008 5010 5344 6012 6680 7515 8016 10020 12024 13360 15030 16032 20040 24048 26720 30060 33623 40080 48096 60120 67246 80160 100869 120240 134492 168115 201738 240480 268984 302607 336230 403476 504345 537968 605214 672460 806952 1008690 1075936 1210428 1344920 1513035 1613904 2017380 2420856 2689840 3026070 3227808 4034760 4841712 5379680 5615041 6052140 8069520 9683424 11230082 12104280 16139040 16845123 22460164 24208560 28075205 33690246 44920328 48417120 50535369 56150410 67380492 84225615 89840656 101070738 112300820 134760984 168451230 179681312 202141476 224601640 252676845 269521968 336902460 404282952 449203280 505353690 539043936 673804920 808565904 898406560 1010707380 1347609840 1617131808 2021414760 2695219680 4042829520 8085659040