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4968191130 = 2357233133181
BaseRepresentation
bin1001010000010000…
…01001010010011010
3110211020112020222220
410220020021102122
540133324104010
62140553324510
7234054633150
oct45010112232
913736466886
104968191130
11211a461591
12b67a06736
136123a2486
14351b813d0
151e1271970
hex12820949a

4968191130 has 128 divisors (see below), whose sum is σ = 14678654976. Its totient is φ = 1051142400.

The previous prime is 4968191093. The next prime is 4968191143. The reversal of 4968191130 is 311918694.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 133140 + ... + 166320.

It is an arithmetic number, because the mean of its divisors is an integer number (114676992).

Almost surely, 24968191130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968191130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339327488).

4968191130 is an abundant number, since it is smaller than the sum of its proper divisors (9710463846).

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

4968191130 is a wasteful number, since it uses less digits than its factorization.

4968191130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33252.

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 4968191130 is about 70485.3965726235. The cubic root of 4968191130 is about 1706.3420696068.

The spelling of 4968191130 in words is "four billion, nine hundred sixty-eight million, one hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 31 35 42 46 62 69 70 93 105 115 138 155 161 186 210 217 230 310 322 345 434 465 483 651 690 713 805 930 966 1085 1302 1426 1610 2139 2170 2415 3255 3565 4278 4830 4991 6510 7130 9982 10695 14973 21390 24955 29946 33181 49910 66362 74865 99543 149730 165905 199086 232267 331810 464534 497715 696801 763163 995430 1028611 1161335 1393602 1526326 2057222 2289489 2322670 3085833 3484005 3815815 4578978 5143055 5342141 6171666 6968010 7200277 7631630 10286110 10684282 11447445 14400554 15429165 16026423 21600831 22894890 23658053 26710705 30858330 32052846 36001385 43201662 47316106 53421410 70974159 72002770 80132115 108004155 118290265 141948318 160264230 165606371 216008310 236580530 331212742 354870795 496819113 709741590 828031855 993638226 1656063710 2484095565 4968191130