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8066388834 = 2337234321577
BaseRepresentation
bin1111000001100101…
…10101001101100010
3202211011100000021000
413200302311031202
5113004443420314
63412230412430
7403615113420
oct74062651542
922734300230
108066388834
11346a2a2359
121691501116
139b721905a
1456742a110
15323261209
hex1e0cb5362

8066388834 has 128 divisors (see below), whose sum is σ = 21874913280. Its totient is φ = 2153112192.

The previous prime is 8066388829. The next prime is 8066388853. The reversal of 8066388834 is 4388836608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 363054 + ... + 384630.

It is an arithmetic number, because the mean of its divisors is an integer number (170897760).

Almost surely, 28066388834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066388834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937456640).

8066388834 is an abundant number, since it is smaller than the sum of its proper divisors (13808524446).

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

8066388834 is a wasteful number, since it uses less digits than its factorization.

8066388834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 8066388834 is about 89813.0771881244. The cubic root of 8066388834 is about 2005.5171692602.

It can be divided in two parts, 8066 and 388834, that added together give a square (396900 = 6302).

The spelling of 8066388834 in words is "eight billion, sixty-six million, three hundred eighty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 43 46 54 63 69 86 126 129 138 161 189 207 258 301 322 378 387 414 483 602 621 774 903 966 989 1161 1242 1449 1806 1978 2322 2709 2898 2967 4347 5418 5934 6923 8127 8694 8901 13846 16254 17802 20769 21577 26703 41538 43154 53406 62307 64731 124614 129462 151039 186921 194193 302078 373842 388386 453117 496271 582579 906234 927811 992542 1165158 1359351 1488813 1855622 2718702 2783433 2977626 3473897 4078053 4466439 5566866 6494677 6947794 8156106 8350299 8932878 10421691 12989354 13399317 16700598 19484031 20843382 21339653 25050897 26798634 31265073 38968062 42679306 50101794 58452093 62530146 64018959 93795219 116904186 128037918 149377571 175356279 187590438 192056877 298755142 350712558 384113754 448132713 576170631 896265426 1152341262 1344398139 2688796278 4033194417 8066388834