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3009509881 = 721724612
BaseRepresentation
bin1011001101100001…
…0111100111111001
321202201220221102221
42303120113213321
522130413304011
61214344124041
7134402261200
oct26330274771
97681827387
103009509881
111304876354
126bba66621
1338c663ca1
142079a0237
15129321971
hexb36179f9

3009509881 has 27 divisors (see below), whose sum is σ = 3726989517. Its totient is φ = 2422573440.

The previous prime is 3009509869. The next prime is 3009509917. The reversal of 3009509881 is 1889059003.

The square root of 3009509881 is 54859.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37515625 + 2971994256 = 6125^2 + 54516^2 .

It is not a de Polignac number, because 3009509881 - 219 = 3008985593 is a prime.

It is a super-2 number, since 2×30095098812 = 18114299447673268322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3009509801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6527991 + ... + 6528451.

Almost surely, 23009509881 is an apocalyptic number.

3009509881 is the 54859-th square number.

3009509881 is the 27430-th centered octagonal number.

It is an amenable number.

3009509881 is a deficient number, since it is larger than the sum of its proper divisors (717479636).

3009509881 is an frugal number, since it uses more digits than its factorization.

3009509881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The cubic root of 3009509881 is about 1443.7719208181.

The spelling of 3009509881 in words is "three billion, nine million, five hundred nine thousand, eight hundred eighty-one".

Divisors: 1 7 17 49 119 289 461 833 2023 3227 7837 14161 22589 54859 133229 212521 384013 932603 1487647 3612857 6528221 10413529 25289999 61418569 177029993 429929983 3009509881