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9669792517641 = 32239243372
BaseRepresentation
bin1000110010110110110010…
…0011000100111000001001
31021020102102110121010102100
42030231230203010320021
52231412213341031031
632322124044424013
72015422321143144
oct214555443047011
937212373533370
109669792517641
113098a32870173
1211020a1b48009
13551b1bc8a8c9
142560401b305b
1511b800823de6
hex8cb6c8c4e09

9669792517641 has 27 divisors (see below), whose sum is σ = 14029398752551. Its totient is φ = 6418075239744.

The previous prime is 9669792517589. The next prime is 9669792517669. The reversal of 9669792517641 is 1467152979669.

It is a happy number.

The square root of 9669792517641 is 3109629.

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

9669792517641 is a `hidden beast` number, since 9 + 6 + 69 + 7 + 9 + 2 + 517 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111158894025 + 9558633623616 = 333405^2 + 3091704^2 .

It is not a de Polignac number, because 9669792517641 - 231 = 9667645033993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9669792517641.

It is not an unprimeable number, because it can be changed into a prime (9669792517691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2229601825 + ... + 2229606161.

Almost surely, 29669792517641 is an apocalyptic number.

9669792517641 is the 3109629-th square number.

9669792517641 is the 1554815-th centered octagonal number.

It is an amenable number.

9669792517641 is a deficient number, since it is larger than the sum of its proper divisors (4359606234910).

9669792517641 is an frugal number, since it uses more digits than its factorization.

9669792517641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 4579 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 9669792517641 in words is "nine trillion, six hundred sixty-nine billion, seven hundred ninety-two million, five hundred seventeen thousand, six hundred forty-one".

Divisors: 1 3 9 239 717 2151 4337 13011 39033 57121 171363 514089 1036543 3109629 9328887 18809569 56428707 169286121 247733777 743201331 2229603993 4495486991 13486460973 40459382919 1074421390849 3223264172547 9669792517641