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8209781316 = 223211113271677
BaseRepresentation
bin1111010010101011…
…10101001001000100
3210012011011002202200
413221111311021010
5113303201000231
63434352034500
7410305663332
oct75125651104
923164132680
108209781316
113533231240
121711532a30
13a0ab43589
1457c4b4b52
15330b37be6
hex1e9575244

8209781316 has 144 divisors (see below), whose sum is σ = 22957579008. Its totient is φ = 2453068800.

The previous prime is 8209781221. The next prime is 8209781317. The reversal of 8209781316 is 6131879028.

It is not an unprimeable number, because it can be changed into a prime (8209781317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12126370 + ... + 12127046.

It is an arithmetic number, because the mean of its divisors is an integer number (159427632).

Almost surely, 28209781316 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 8209781316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478789504).

8209781316 is an abundant number, since it is smaller than the sum of its proper divisors (14747797692).

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

8209781316 is a wasteful number, since it uses less digits than its factorization.

8209781316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8209781316 is about 90607.8435677618. The cubic root of 8209781316 is about 2017.3311580025.

The spelling of 8209781316 in words is "eight billion, two hundred nine million, seven hundred eighty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 271 339 396 452 542 677 678 813 1017 1084 1243 1354 1356 1626 2031 2034 2439 2486 2708 2981 3252 3729 4062 4068 4878 4972 5962 6093 7447 7458 8124 8943 9756 11187 11924 12186 14894 14916 17886 22341 22374 24372 26829 29788 30623 35772 44682 44748 53658 61246 67023 76501 89364 91869 107316 122492 134046 153002 183467 183738 229503 268092 275607 306004 336853 366934 367476 459006 550401 551214 673706 688509 733868 841511 918012 1010559 1100802 1102428 1347412 1377018 1651203 1683022 2018137 2021118 2201604 2524533 2754036 3031677 3302406 3366044 4036274 4042236 5049066 6054411 6063354 6604812 7573599 8072548 10098132 12108822 12126708 15147198 18163233 20731771 24217644 30294396 36326466 41463542 62195313 72652932 82927084 124390626 186585939 228049481 248781252 373171878 456098962 684148443 746343756 912197924 1368296886 2052445329 2736593772 4104890658 8209781316