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3006208093 = 77921312551
BaseRepresentation
bin1011001100101111…
…0001100001011101
321202111201012020111
42303023301201131
522124042124333
61214145250021
7134332230040
oct26313614135
97674635214
103006208093
111302a206a9
126ba933911
1338ba79175
14207380c57
15128dbd4cd
hexb32f185d

3006208093 has 16 divisors (see below), whose sum is σ = 3482152960. Its totient is φ = 2541942000.

The previous prime is 3006208069. The next prime is 3006208097. The reversal of 3006208093 is 3908026003.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3006208093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006208097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177168 + ... + 1179718.

It is an arithmetic number, because the mean of its divisors is an integer number (217634560).

Almost surely, 23006208093 is an apocalyptic number.

It is an amenable number.

3006208093 is a deficient number, since it is larger than the sum of its proper divisors (475944867).

3006208093 is a wasteful number, since it uses less digits than its factorization.

3006208093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3006208093 is about 54828.8983383763. The cubic root of 3006208093 is about 1443.2437314687.

The spelling of 3006208093 in words is "three billion, six million, two hundred eight thousand, ninety-three".

Divisors: 1 7 79 553 2131 2551 14917 17857 168349 201529 1178443 1410703 5436181 38053267 429458299 3006208093