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8743322661921 = 324726723132
BaseRepresentation
bin111111100111011011010…
…1001000011010000100001
31010221212001012010001101100
41333032312221003100201
52121222311100140141
630332343232225013
71561453454252451
oct177166651032041
933855035101340
108743322661921
112871027782a61
12b9262109b169
134b56515cb8a3
14223271549d61
151026795820b6
hex7f3b6a43421

8743322661921 has 81 divisors (see below), whose sum is σ = 13141118889171. Its totient is φ = 5601761440704.

The previous prime is 8743322661911. The next prime is 8743322662043. The reversal of 8743322661921 is 1291662233478.

The square root of 8743322661921 is 2956911.

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

8743322661921 is a `hidden beast` number, since 8 + 74 + 3 + 322 + 66 + 192 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55778630625 + 8687544031296 = 236175^2 + 2947464^2 .

It is not a de Polignac number, because 8743322661921 - 27 = 8743322661793 is a prime.

It is a super-2 number, since 2×87433226619212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8743322661911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27933938061 + ... + 27933938373.

Almost surely, 28743322661921 is an apocalyptic number.

8743322661921 is the 2956911-st square number.

8743322661921 is the 1478456-th centered octagonal number.

It is an amenable number.

8743322661921 is a deficient number, since it is larger than the sum of its proper divisors (4397796227250).

8743322661921 is an frugal number, since it uses more digits than its factorization.

8743322661921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 430 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 8743322661921 in words is "eight trillion, seven hundred forty-three billion, three hundred twenty-two million, six hundred sixty-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 47 67 141 201 313 423 603 939 2209 2817 3149 4489 6627 9447 13467 14711 19881 20971 28341 40401 44133 62913 97969 132399 148003 188739 210983 293907 444009 632949 691417 881721 985637 1332027 1405057 1898847 2074251 2956911 4215171 4604543 6222753 6563923 8870733 9916201 12645513 13813629 19691769 29748603 41440887 46324939 59075307 66037679 89245809 138974817 198113037 216413521 308504381 416924451 439782841 594339111 649240563 925513143 1319348523 1947721689 2776539429 3103770913 3958045569 9311312739 14499705907 20669793527 27933938217 43499117721 62009380581 130497353163 186028141743 971480295769 2914440887307 8743322661921