Search a number
-
+
5008659084 = 22331113319101
BaseRepresentation
bin1001010101000101…
…00001001010001100
3110221001200020121000
410222202201022030
540224204042314
62145000540300
7235055620422
oct45242411214
913831606530
105008659084
112140291780
12b79481690
1361a8a1000
143572b7112
151e4ab7209
hex12a8a128c

5008659084 has 384 divisors, whose sum is σ = 16313472000. Its totient is φ = 1314144000.

The previous prime is 5008659083. The next prime is 5008659091. The reversal of 5008659084 is 4809568005.

5008659084 is a `hidden beast` number, since 50 + 0 + 8 + 6 + 590 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008659083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49590634 + ... + 49590734.

It is an arithmetic number, because the mean of its divisors is an integer number (42483000).

Almost surely, 25008659084 is an apocalyptic number.

5008659084 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5008659084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156736000).

5008659084 is an abundant number, since it is smaller than the sum of its proper divisors (11304812916).

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

5008659084 is a wasteful number, since it uses less digits than its factorization.

5008659084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5008659084 is about 70771.8806023974. The cubic root of 5008659084 is about 1710.9624990770.

The spelling of 5008659084 in words is "five billion, eight million, six hundred fifty-nine thousand, eighty-four".