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4968291384 = 2333731105997
BaseRepresentation
bin1001010000010001…
…00001110000111000
3110211020201100112000
410220020201300320
540133340311014
62140555421000
7234055531350
oct45010416070
913736640460
104968291384
11211a51a941
12b67a54760
13612408cb4
14351ba9b60
151e1291509
hex128221c38

4968291384 has 128 divisors (see below), whose sum is σ = 16281292800. Its totient is φ = 1373708160.

The previous prime is 4968291359. The next prime is 4968291473. The reversal of 4968291384 is 4831928694.

It is a super-3 number, since 3×49682913843 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4968291384.

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 31 ways as a sum of consecutive naturals, for example, 6127 + ... + 99870.

It is an arithmetic number, because the mean of its divisors is an integer number (127197600).

Almost surely, 24968291384 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 4968291384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140646400).

4968291384 is an abundant number, since it is smaller than the sum of its proper divisors (11313001416).

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

4968291384 is a wasteful number, since it uses less digits than its factorization.

4968291384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106050 (or 106040 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4968291384 is about 70486.1077376244. The cubic root of 4968291384 is about 1706.3535470549.

The spelling of 4968291384 in words is "four billion, nine hundred sixty-eight million, two hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 23436 46872 105997 211994 317991 423988 635982 741979 847976 953973 1271964 1483958 1907946 2225937 2543928 2861919 2967916 3285907 3815892 4451874 5723838 5935832 6571814 6677811 7631784 8903748 9857721 11447676 13143628 13355622 17807496 19715442 20033433 22895352 23001349 26287256 26711244 29573163 39430884 40066866 46002698 53422488 59146326 69004047 78861768 80133732 88719489 92005396 118292652 138008094 160267464 177438978 184010792 207012141 236585304 276016188 354877956 414024282 552032376 621036423 709755912 828048564 1242072846 1656097128 2484145692 4968291384