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4681808352 = 2532132432237
BaseRepresentation
bin1000101110000111…
…01011100111100000
3110002021122111200100
410113003223213200
534042020331402
62052323222400
7224006500014
oct42703534740
913067574610
104681808352
111a92838a01
12aa7b17a00
13597c61800
14325b14544
151c605271c
hex1170eb9e0

4681808352 has 216 divisors, whose sum is σ = 14758687944. Its totient is φ = 1406426112.

The previous prime is 4681808317. The next prime is 4681808389. The reversal of 4681808352 is 2538081864.

4681808352 is a `hidden beast` number, since 468 + 180 + 8 + 3 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4681808298 and 4681808307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2091778 + ... + 2094014.

It is an arithmetic number, because the mean of its divisors is an integer number (68327259).

Almost surely, 24681808352 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 4681808352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379343972).

4681808352 is an abundant number, since it is smaller than the sum of its proper divisors (10076879592).

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

4681808352 is a wasteful number, since it uses less digits than its factorization.

4681808352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4681808352 is about 68423.7411429688. The cubic root of 4681808352 is about 1672.9047361154.

The spelling of 4681808352 in words is "four billion, six hundred eighty-one million, eight hundred eight thousand, three hundred fifty-two".