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8065863414 = 2337151251563
BaseRepresentation
bin1111000001100001…
…10100111011110110
3202211010100022112000
413200300310323312
5113004330112124
63412211240130
7403610464530
oct74060647366
922733308460
108065863414
113469a73624
1216912a9046
139b7093b5b
14567330850
153231aa6c9
hex1e0c34ef6

8065863414 has 128 divisors (see below), whose sum is σ = 20739317760. Its totient is φ = 2276100000.

The previous prime is 8065863397. The next prime is 8065863427. The reversal of 8065863414 is 4143685608.

8065863414 is a `hidden beast` number, since 8 + 0 + 6 + 5 + 8 + 634 + 1 + 4 = 666.

It is a super-2 number, since 2×80658634142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8065863414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14326297 + ... + 14326859.

It is an arithmetic number, because the mean of its divisors is an integer number (162025920).

Almost surely, 28065863414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8065863414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369658880).

8065863414 is an abundant number, since it is smaller than the sum of its proper divisors (12673454346).

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

8065863414 is a wasteful number, since it uses less digits than its factorization.

8065863414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8065863414 is about 89810.1520653428. The cubic root of 8065863414 is about 2005.4736238880.

It can be divided in two parts, 806586 and 3414, that added together give a 4-th power (810000 = 304).

The spelling of 8065863414 in words is "eight billion, sixty-five million, eight hundred sixty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 151 189 251 302 378 453 502 563 753 906 1057 1126 1359 1506 1689 1757 2114 2259 2718 3171 3378 3514 3941 4077 4518 5067 5271 6342 6777 7882 8154 9513 10134 10542 11823 13554 15201 15813 19026 23646 28539 30402 31626 35469 37901 47439 57078 70938 75802 85013 94878 106407 113703 141313 170026 212814 227406 255039 265307 282626 341109 423939 510078 530614 595091 682218 765117 795921 847878 989191 1023327 1190182 1271817 1530234 1591842 1785273 1978382 2046654 2295351 2387763 2543634 2967573 3570546 3815451 4590702 4775526 5355819 5935146 7163289 7630902 8902719 10711638 14326578 16067457 17805438 21338263 26708157 32134914 42676526 53416314 64014789 128029578 149367841 192044367 298735682 384088734 448103523 576133101 896207046 1152266202 1344310569 2688621138 4032931707 8065863414