Search a number
-
+
5447385684 = 223213174315923
BaseRepresentation
bin1010001001011000…
…01000001001010100
3112001122012212100100
411010230020021110
542124012320214
62300312214100
7251664004626
oct50454101124
915048185310
105447385684
1123459a8544
12108039a330
1368a751650
1439967cc16
1521d37a309
hex144b08254

5447385684 has 144 divisors (see below), whose sum is σ = 16067443392. Its totient is φ = 1540740096.

The previous prime is 5447385679. The next prime is 5447385761. The reversal of 5447385684 is 4865837445.

It is a happy number.

5447385684 is a `hidden beast` number, since 5 + 4 + 4 + 73 + 8 + 568 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5447385684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334147 + ... + 350069.

It is an arithmetic number, because the mean of its divisors is an integer number (111579468).

Almost surely, 25447385684 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 5447385684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033721696).

5447385684 is an abundant number, since it is smaller than the sum of its proper divisors (10620057708).

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

5447385684 is a wasteful number, since it uses less digits than its factorization.

5447385684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006 (or 16001 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 5447385684 is about 73806.4067950744. The cubic root of 5447385684 is about 1759.5274303724.

The spelling of 5447385684 in words is "five billion, four hundred forty-seven million, three hundred eighty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 43 51 52 68 78 86 102 117 129 153 156 172 204 221 234 258 306 387 442 468 516 559 612 663 731 774 884 1118 1326 1462 1548 1677 1989 2193 2236 2652 2924 3354 3978 4386 5031 6579 6708 7956 8772 9503 10062 13158 15923 19006 20124 26316 28509 31846 38012 47769 57018 63692 85527 95538 114036 143307 171054 191076 206999 270691 286614 342108 413998 541382 573228 620997 684689 812073 827996 1082764 1241994 1369378 1624146 1862991 2054067 2436219 2483988 2738756 3248292 3518983 3725982 4108134 4872438 6162201 7037966 7451964 8216268 8900957 9744876 10556949 11639713 12324402 14075932 17801914 21113898 23279426 24648804 26702871 31670847 34919139 35603828 42227796 46558852 53405742 63341694 69838278 80108613 104757417 106811484 126683388 139676556 151316269 160217226 209514834 302632538 320434452 419029668 453948807 605265076 907897614 1361846421 1815795228 2723692842 5447385684