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4886861824 = 21113312191
BaseRepresentation
bin1001000110100011…
…11001100000000000
3110121120111022011101
410203101321200000
540002014034244
62124530224144
7232046432365
oct44321714000
913546438141
104886861824
112088562689
12b44725054
135cb598020
1434505046c
151d90590d4
hex123479800

4886861824 has 144 divisors (see below), whose sum is σ = 10930308480. Its totient is φ = 2171289600.

The previous prime is 4886861821. The next prime is 4886861827. The reversal of 4886861824 is 4281686884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4886861821) and next prime (4886861827).

Its product of digits (4718592) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4886861821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25585569 + ... + 25585759.

It is an arithmetic number, because the mean of its divisors is an integer number (75904920).

Almost surely, 24886861824 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 4886861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465154240).

4886861824 is an abundant number, since it is smaller than the sum of its proper divisors (6043446656).

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

4886861824 is a wasteful number, since it uses less digits than its factorization.

4886861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 237 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 55.

The square root of 4886861824 is about 69906.0928961131. The cubic root of 4886861824 is about 1696.9798538646.

The spelling of 4886861824 in words is "four billion, eight hundred eighty-six million, eight hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 191 208 248 256 382 403 416 496 512 764 806 832 961 992 1024 1528 1612 1664 1922 1984 2048 2483 3056 3224 3328 3844 3968 4966 5921 6112 6448 6656 7688 7936 9932 11842 12224 12493 12896 13312 15376 15872 19864 23684 24448 24986 25792 26624 30752 31744 39728 47368 48896 49972 51584 61504 63488 76973 79456 94736 97792 99944 103168 123008 153946 158912 183551 189472 195584 199888 206336 246016 307892 317824 367102 378944 391168 399776 412672 492032 615784 635648 734204 757888 799552 825344 984064 1231568 1271296 1468408 1515776 1599104 1968128 2386163 2463136 2542592 2936816 3031552 3198208 4772326 4926272 5085184 5873632 6063104 6396416 9544652 9852544 11747264 12126208 12792832 19089304 19705088 23494528 25585664 38178608 39410176 46989056 76357216 78820352 93978112 152714432 157640704 187956224 305428864 375912448 610857728 1221715456 2443430912 4886861824