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4871946241 = 17894097873
BaseRepresentation
bin1001000100110010…
…00000000000000001
3110120112102111211101
410202121000000001
534434204234431
62123234414401
7231505600621
oct44231000001
913515374741
104871946241
1120800a5358
12b3b731401
135c8474c36
1434308a881
151d7aae961
hex122640001

4871946241 has 16 divisors (see below), whose sum is σ = 5229910800. Its totient is φ = 4522180608.

The previous prime is 4871946221. The next prime is 4871946253. The reversal of 4871946241 is 1426491784.

It can be written as a sum of positive squares in 8 ways, for example, as 30569841 + 4841376400 = 5529^2 + 69580^2 .

It is not a de Polignac number, because 4871946241 - 27 = 4871946113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4871946191 and 4871946200.

It is not an unprimeable number, because it can be changed into a prime (4871946221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614881 + ... + 622753.

It is an arithmetic number, because the mean of its divisors is an integer number (326869425).

It is a Proth number, since it is equal to 18585 ⋅ 218 + 1 and 18585 < 218.

Almost surely, 24871946241 is an apocalyptic number.

It is an amenable number.

4871946241 is a deficient number, since it is larger than the sum of its proper divisors (357964559).

4871946241 is a wasteful number, since it uses less digits than its factorization.

4871946241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388.

The product of its digits is 387072, while the sum is 46.

The square root of 4871946241 is about 69799.3283706942. The cubic root of 4871946241 is about 1695.2515982394.

The spelling of 4871946241 in words is "four billion, eight hundred seventy-one million, nine hundred forty-six thousand, two hundred forty-one".

Divisors: 1 17 89 409 1513 6953 7873 36401 133841 618817 700697 3220057 11911849 54740969 286585073 4871946241