Search a number
-
+
10024444188 = 22321137838243
BaseRepresentation
bin10010101011000000…
…01110000100011100
3221212121202112020200
421111200032010130
5131012224203223
64334414343500
7503262240543
oct112540160434
927777675220
1010024444188
1142845a0320
121b391bab90
13c39a986a5
146b14c715a
153da0daa43
hex25580e11c

10024444188 has 144 divisors (see below), whose sum is σ = 28735814016. Its totient is φ = 2919646080.

The previous prime is 10024444127. The next prime is 10024444189. The reversal of 10024444188 is 88144442001.

10024444188 is a `hidden beast` number, since 10 + 0 + 24 + 444 + 188 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024444189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211995 + ... + 1220237.

It is an arithmetic number, because the mean of its divisors is an integer number (199554264).

Almost surely, 210024444188 is an apocalyptic number.

10024444188 is a gapful number since it is divisible by the number (18) 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 10024444188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367907008).

10024444188 is an abundant number, since it is smaller than the sum of its proper divisors (18711369828).

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

10024444188 is a wasteful number, since it uses less digits than its factorization.

10024444188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 10024444188 its reverse (88144442001), we get a palindrome (98168886189).

The spelling of 10024444188 in words is "ten billion, twenty-four million, four hundred forty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 83 99 111 132 148 166 198 222 249 332 333 396 407 444 498 666 747 814 913 996 1221 1332 1494 1628 1826 2442 2739 2988 3071 3652 3663 4884 5478 6142 7326 8217 8243 9213 10956 12284 14652 16434 16486 18426 24729 27639 32868 32972 33781 36852 49458 55278 67562 74187 90673 98916 101343 110556 135124 148374 181346 202686 272019 296748 304029 304991 362692 405372 544038 608058 609982 684169 816057 914973 1088076 1216116 1219964 1368338 1632114 1829946 2052507 2736676 2744919 3264228 3354901 3659892 4105014 5489838 6157521 6709802 7525859 8210028 10064703 10979676 12315042 13419604 15051718 20129406 22577577 24630084 25314253 30103436 30194109 40258812 45155154 50628506 60388218 67732731 75942759 90310308 101257012 120776436 135465462 151885518 227828277 270930924 278456783 303771036 455656554 556913566 835370349 911313108 1113827132 1670740698 2506111047 3341481396 5012222094 10024444188