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4718943769969 = 11413213812
BaseRepresentation
bin100010010101011011011…
…1101111001010101110001
3121201010102022020022201001
41010222312331321111301
51104303344101114334
614011504114042001
7664634553136522
oct104526675712561
917633368208631
104718943769969
11155a324810000
12642690879301
13282cc0b76100
14124580542849
1582b3d1e1714
hex44ab6f79571

4718943769969 has 45 divisors (see below), whose sum is σ = 5624886557745. Its totient is φ = 3957085360800.

The previous prime is 4718943769961. The next prime is 4718943770027. The reversal of 4718943769969 is 9699673498174.

The square root of 4718943769969 is 2172313.

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 842329306225 + 3876614463744 = 917785^2 + 1968912^2 .

It is not a de Polignac number, because 4718943769969 - 23 = 4718943769961 is a prime.

It is a super-2 number, since 2×47189437699692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4718943769892 and 4718943769901.

It is not an unprimeable number, because it can be changed into a prime (4718943769961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3417047659 + ... + 3417049039.

It is an arithmetic number, because the mean of its divisors is an integer number (124997479061).

Almost surely, 24718943769969 is an apocalyptic number.

4718943769969 is the 2172313-rd square number.

4718943769969 is the 1086157-th centered octagonal number.

It is an amenable number.

4718943769969 is a deficient number, since it is larger than the sum of its proper divisors (905942787776).

4718943769969 is an frugal number, since it uses more digits than its factorization.

4718943769969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 1405 counting only the distinct ones).

The product of its digits is 4444263936, while the sum is 82.

The spelling of 4718943769969 in words is "four trillion, seven hundred eighteen billion, nine hundred forty-three million, seven hundred sixty-nine thousand, nine hundred sixty-nine".

Divisors: 1 11 13 121 143 169 1331 1381 1573 1859 14641 15191 17303 17953 20449 167101 190333 197483 224939 233389 1838111 1907161 2172313 2474329 2567279 20219221 20978771 23895443 24793093 28240069 230766481 262849873 272724023 310640759 322310209 2538431291 2999964253 3417048349 3545412299 27922744201 32999606783 38999535289 362995674613 428994888179 4718943769969