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4981104648 = 23321321512711
BaseRepresentation
bin1001010001110010…
…11010000000001000
3110212010211100000100
410220321122000020
540200130322043
62142134205400
7234302455662
oct45071320010
913763740010
104981104648
112126781713
12b701b3860
13614c74200
14353783532
151e2472cd3
hex128e5a008

4981104648 has 144 divisors (see below), whose sum is σ = 14710213440. Its totient is φ = 1521936000.

The previous prime is 4981104643. The next prime is 4981104673. The reversal of 4981104648 is 8464011894.

4981104648 is a `hidden beast` number, since 498 + 110 + 4 + 6 + 48 = 666.

It is a super-2 number, since 2×49811046482 = 49622807028654407808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4981104643) 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 35 ways as a sum of consecutive naturals, for example, 1836013 + ... + 1838723.

It is an arithmetic number, because the mean of its divisors is an integer number (102154260).

Almost surely, 24981104648 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 4981104648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355106720).

4981104648 is an abundant number, since it is smaller than the sum of its proper divisors (9729108792).

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

4981104648 is a wasteful number, since it uses less digits than its factorization.

4981104648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4981104648 is about 70576.9413335545. The cubic root of 4981104648 is about 1707.8191877145.

The spelling of 4981104648 in words is "four billion, nine hundred eighty-one million, one hundred four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 151 156 169 234 302 312 338 453 468 507 604 676 906 936 1014 1208 1352 1359 1521 1812 1963 2028 2711 2718 3042 3624 3926 4056 5422 5436 5889 6084 7852 8133 10844 10872 11778 12168 15704 16266 17667 21688 23556 24399 25519 32532 35243 35334 47112 48798 51038 65064 70486 70668 76557 97596 102076 105729 140972 141336 153114 195192 204152 211458 229671 281944 306228 317187 409361 422916 458159 459342 612456 634374 818722 845832 916318 918684 1228083 1268748 1374477 1637444 1832636 1837368 2456166 2537496 2748954 3274888 3665272 3684249 4123431 4912332 5321693 5497908 7368498 8246862 9824664 10643386 10995816 14736996 15965079 16493724 21286772 29473992 31930158 32987448 42573544 47895237 63860316 69182009 95790474 127720632 138364018 191580948 207546027 276728036 383161896 415092054 553456072 622638081 830184108 1245276162 1660368216 2490552324 4981104648