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4941600066841 = 17243230412
BaseRepresentation
bin100011111101000111001…
…0100010000110100011001
3122111102010121100010201211
41013322032110100310121
51121430344104114331
614302050103143121
71020006312343264
oct107721624206431
918442117303654
104941600066841
1116357a2457399
1267986ba44aa1
1329acb5c943b9
14131263603cdb
15888206d28b1
hex47e8e510d19

4941600066841 has 27 divisors (see below), whose sum is σ = 5376066922173. Its totient is φ = 4541262996480.

The previous prime is 4941600066749. The next prime is 4941600066853. The reversal of 4941600066841 is 1486600061494.

The square root of 4941600066841 is 2222971.

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 3202113408025 + 1739486658816 = 1789445^2 + 1318896^2 .

It is a de Polignac number, because none of the positive numbers 2k-4941600066841 is a prime.

It is a super-2 number, since 2×49416000668412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4941640066841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1624990281 + ... + 1624993321.

Almost surely, 24941600066841 is an apocalyptic number.

4941600066841 is the 2222971-st square number.

4941600066841 is the 1111486-th centered octagonal number.

It is an amenable number.

4941600066841 is a deficient number, since it is larger than the sum of its proper divisors (434466855332).

4941600066841 is an frugal number, since it uses more digits than its factorization.

4941600066841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 4941600066841 by its sum of digits (49), we get a square (242138403275209 = 155607972).

The spelling of 4941600066841 in words is "four trillion, nine hundred forty-one billion, six hundred million, sixty-six thousand, eight hundred forty-one".

Divisors: 1 17 43 289 731 1849 3041 12427 31433 51697 130763 534361 878849 2222971 5622809 9247681 37790507 95587753 157210577 397650283 1624991801 2672579809 6760054811 17098962169 114920931787 290682356873 4941600066841