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4830463506 = 2311210616271
BaseRepresentation
bin1000111111110101…
…10000011000010010
3110110122100222012210
410133322300120102
534343044313011
62115153332550
7230463155661
oct43772603022
913418328183
104830463506
112059741800
12b29867156
135bc9ac53b
1433b76cdd8
151d41186a6
hex11feb0612

4830463506 has 48 divisors (see below), whose sum is σ = 10630738944. Its totient is φ = 1462164000.

The previous prime is 4830463501. The next prime is 4830463531. The reversal of 4830463506 is 6053640384.

It is not an unprimeable number, because it can be changed into a prime (4830463501) 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, 767151 + ... + 773421.

It is an arithmetic number, because the mean of its divisors is an integer number (221473728).

Almost surely, 24830463506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4830463506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315369472).

4830463506 is an abundant number, since it is smaller than the sum of its proper divisors (5800275438).

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

4830463506 is a wasteful number, since it uses less digits than its factorization.

4830463506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4830463506 is about 69501.5359974152. The cubic root of 4830463506 is about 1690.4264071146.

The spelling of 4830463506 in words is "four billion, eight hundred thirty million, four hundred sixty-three thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1061 2122 3183 6271 6366 11671 12542 18813 23342 35013 37626 68981 70026 128381 137962 206943 256762 385143 413886 758791 770286 1517582 2276373 4552746 6653531 13307062 19960593 39921186 73188841 146377682 219566523 439133046 805077251 1610154502 2415231753 4830463506