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5084411616 = 253217654207
BaseRepresentation
bin1001011110000110…
…11111011011100000
3111010100012212112100
410233003133123200
540403102132431
62200304330400
7236665533324
oct45703373340
914110185470
105084411616
11217a021779
12b9a913a00
136304a4cab
14363395984
151eb57c4e6
hex12f0df6e0

5084411616 has 36 divisors (see below), whose sum is σ = 14458796352. Its totient is φ = 1694803776.

The previous prime is 5084411581. The next prime is 5084411617. The reversal of 5084411616 is 6161144805.

5084411616 is a `hidden beast` number, since 50 + 8 + 441 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084411617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8826816 + ... + 8827391.

It is an arithmetic number, because the mean of its divisors is an integer number (401633232).

Almost surely, 25084411616 is an apocalyptic number.

It is an amenable number.

5084411616 is an abundant number, since it is smaller than the sum of its proper divisors (9374384736).

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

5084411616 is a wasteful number, since it uses less digits than its factorization.

5084411616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17654223 (or 17654212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5084411616 is about 71305.0602411919. The cubic root of 5084411616 is about 1719.5450861107.

The spelling of 5084411616 in words is "five billion, eighty-four million, four hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17654207 35308414 52962621 70616828 105925242 141233656 158887863 211850484 282467312 317775726 423700968 564934624 635551452 847401936 1271102904 1694803872 2542205808 5084411616