Search a number
-
+
285685086288 = 24372943681839
BaseRepresentation
bin1000010100001000010…
…10000111100001010000
31000022101212220001202210
410022010022013201100
514140040340230123
6335124130512120
726432354111130
oct4120412074120
91008355801683
10285685086288
111001818687a8
124744b435640
1320c2b1cc974
14db81cd2ac0
157670ac2e93
hex4284287850

285685086288 has 160 divisors (see below), whose sum is σ = 892828569600. Its totient is φ = 76976782848.

The previous prime is 285685086257. The next prime is 285685086289. The reversal of 285685086288 is 882680586582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285685086289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78073 + ... + 759911.

It is an arithmetic number, because the mean of its divisors is an integer number (5580178560).

Almost surely, 2285685086288 is an apocalyptic number.

285685086288 is a gapful number since it is divisible by the number (28) 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 285685086288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446414284800).

285685086288 is an abundant number, since it is smaller than the sum of its proper divisors (607143483312).

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

285685086288 is a wasteful number, since it uses less digits than its factorization.

285685086288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681929 (or 681923 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 66.

The spelling of 285685086288 in words is "two hundred eighty-five billion, six hundred eighty-five million, eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 56 58 84 86 87 112 116 129 168 172 174 203 232 258 301 336 344 348 406 464 516 602 609 688 696 812 903 1032 1204 1218 1247 1392 1624 1806 2064 2408 2436 2494 3248 3612 3741 4816 4872 4988 7224 7482 8729 9744 9976 14448 14964 17458 19952 26187 29928 34916 52374 59856 69832 104748 139664 209496 418992 681839 1363678 2045517 2727356 4091034 4772873 5454712 8182068 9545746 10909424 14318619 16364136 19091492 19773331 28637238 29319077 32728272 38182984 39546662 57274476 58638154 59319993 76365968 79093324 87957231 114548952 117276308 118639986 138413317 158186648 175914462 205233539 229097904 234552616 237279972 276826634 316373296 351828924 410467078 415239951 469105232 474559944 553653268 615700617 703657848 820934156 830479902 850253233 949119888 1107306536 1231401234 1407315696 1641868312 1660959804 1700506466 2214613072 2462802468 2550759699 3283736624 3321919608 3401012932 4925604936 5101519398 5951772631 6643839216 6802025864 9851209872 10203038796 11903545262 13604051728 17855317893 20406077592 23807090524 35710635786 40812155184 47614181048 71421271572 95228362096 142842543144 285685086288