Search a number
-
+
8685480846 = 23717232632011
BaseRepresentation
bin10000001011011000…
…11110101110001110
3211102022021010211210
420011230132232032
5120241440341341
63553503555250
7425143240410
oct100554365616
924368233753
108685480846
113757800349
1218248bbb26
13a8556a9a3
145c57429b0
1535c7a0c16
hex205b1eb8e

8685480846 has 128 divisors (see below), whose sum is σ = 22028599296. Its totient is φ = 2224442880.

The previous prime is 8685480833. The next prime is 8685480847. The reversal of 8685480846 is 6480845868.

8685480846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8685480847) 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 63 ways as a sum of consecutive naturals, for example, 4317981 + ... + 4319991.

It is an arithmetic number, because the mean of its divisors is an integer number (172098432).

Almost surely, 28685480846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8685480846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014299648).

8685480846 is an abundant number, since it is smaller than the sum of its proper divisors (13343118450).

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

8685480846 is a wasteful number, since it uses less digits than its factorization.

8685480846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326.

The product of its (nonzero) digits is 11796480, while the sum is 57.

The square root of 8685480846 is about 93195.9271964178. The cubic root of 8685480846 is about 2055.5653530614.

The spelling of 8685480846 in words is "eight billion, six hundred eighty-five million, four hundred eighty thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 263 322 357 391 483 526 714 782 789 966 1173 1578 1841 2011 2346 2737 3682 4022 4471 5474 5523 6033 6049 8211 8942 11046 12066 12098 13413 14077 16422 18147 26826 28154 31297 34187 36294 42231 42343 46253 62594 68374 84462 84686 92506 93891 102561 102833 127029 138759 187782 205122 205666 239309 254058 277518 308499 323771 478618 528893 616998 647542 717927 719831 786301 971313 1057786 1435854 1439662 1572602 1586679 1942626 2159493 2358903 3173358 3702251 4318986 4717806 5504107 7404502 8991181 11008214 11106753 12164539 16512321 17982362 22213506 24329078 26973543 33024642 36493617 53947086 62938267 72987234 85151773 125876534 170303546 188814801 206797163 255455319 377629602 413594326 510910638 620391489 1240782978 1447580141 2895160282 4342740423 8685480846