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4841799768 = 23321331116633
BaseRepresentation
bin1001000001001100…
…00000000001011000
3110111102200220122100
410200212000001120
534404000043033
62120240323400
7230661422211
oct44046000130
913442626570
104841799768
112065084913
12b31613560
135c214b3a0
1433d080408
151d5107513
hex120980058

4841799768 has 96 divisors (see below), whose sum is σ = 14168175840. Its totient is φ = 1484904960.

The previous prime is 4841799763. The next prime is 4841799779. The reversal of 4841799768 is 8679971484.

4841799768 is a `hidden beast` number, since 484 + 1 + 7 + 9 + 97 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4841799763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282780 + ... + 299412.

It is an arithmetic number, because the mean of its divisors is an integer number (147585165).

Almost surely, 24841799768 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 4841799768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084087920).

4841799768 is an abundant number, since it is smaller than the sum of its proper divisors (9326376072).

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

4841799768 is a wasteful number, since it uses less digits than its factorization.

4841799768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16969 (or 16962 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 4841799768 is about 69583.0422445009. The cubic root of 4841799768 is about 1691.7477534197.

It can be divided in two parts, 4841 and 799768, that added together give a square (804609 = 8972).

The spelling of 4841799768 in words is "four billion, eight hundred forty-one million, seven hundred ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 311 312 468 622 933 936 1244 1866 2488 2799 3732 4043 5598 7464 8086 11196 12129 16172 16633 22392 24258 32344 33266 36387 48516 49899 66532 72774 97032 99798 133064 145548 149697 199596 216229 291096 299394 399192 432458 598788 648687 864916 1197576 1297374 1729832 1946061 2594748 3892122 5172863 5189496 7784244 10345726 15518589 15568488 20691452 31037178 41382904 46555767 62074356 67247219 93111534 124148712 134494438 186223068 201741657 268988876 372446136 403483314 537977752 605224971 806966628 1210449942 1613933256 2420899884 4841799768