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1166317921444 = 221327325692
BaseRepresentation
bin10000111110001101111…
…101110010010010100100
311010111110200221020101111
4100332031331302102210
5123102104341441234
62251444332434404
7150156305521204
oct20761575622244
94114420836344
101166317921444
1140a6a6073a35
1216a059618a04
1385ca2435300
1440643086404
1520512bda664
hex10f8df724a4

1166317921444 has 81 divisors (see below), whose sum is σ = 2244773663433. Its totient is φ = 529993511424.

The previous prime is 1166317921427. The next prime is 1166317921463. The reversal of 1166317921444 is 4441297136611.

The square root of 1166317921444 is 1079962.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1155758303844 + 10559617600 = 1075062^2 + 102760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2049767592 + ... + 2049768160.

Almost surely, 21166317921444 is an apocalyptic number.

1166317921444 is the 1079962-nd square number.

It is an amenable number.

1166317921444 is a deficient number, since it is larger than the sum of its proper divisors (1078455741989).

1166317921444 is an frugal number, since it uses more digits than its factorization.

1166317921444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 1166317921444 by its sum of digits (49), we get a square (57149578150756 = 75597342).

The spelling of 1166317921444 in words is "one trillion, one hundred sixty-six billion, three hundred seventeen million, nine hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 73 146 169 292 338 569 676 949 1138 1898 2276 3796 5329 7397 10658 12337 14794 21316 24674 29588 41537 49348 69277 83074 96161 138554 166148 192322 277108 323761 384644 539981 647522 900601 1079962 1295044 1801202 2159924 3032201 3602404 4208893 6064402 7019753 8417786 12128804 14039506 16835572 23634553 28079012 39418613 47269106 54715609 78837226 94538212 109431218 157674452 218862436 307249189 512441969 614498378 1024883938 1228996756 1725322369 2049767876 3450644738 3994239457 6901289476 7988478914 15976957828 22429190797 44858381594 89716763188 291579480361 583158960722 1166317921444