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9064537283169 = 32353228432
BaseRepresentation
bin1000001111101000000010…
…0001100101101001100001
31012002120011012002111111100
42003322000201211221201
52142003133021030134
631140105124305013
71623614453424624
oct203720041455141
935076135074440
109064537283169
112985280a91195
121024927242169
13509a22648704
14234a23dcbdbb
1510abc9434999
hex83e80865a61

9064537283169 has 27 divisors (see below), whose sum is σ = 13135037002867. Its totient is φ = 6023786246016.

The previous prime is 9064537283167. The next prime is 9064537283209. The reversal of 9064537283169 is 9613827354609.

The square root of 9064537283169 is 3010737.

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

9064537283169 is a `hidden beast` number, since 9 + 0 + 6 + 4 + 537 + 2 + 8 + 31 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3682656950625 + 5381880332544 = 1919025^2 + 2319888^2 .

It is not a de Polignac number, because 9064537283169 - 21 = 9064537283167 is a prime.

It is a super-2 number, since 2×90645372831692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9064537283167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3188369062 + ... + 3188371904.

It is a 3-persistent number, because k⋅9064537283169 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 29064537283169 is an apocalyptic number.

9064537283169 is the 3010737-th square number.

9064537283169 is the 1505369-th centered octagonal number.

It is an amenable number.

9064537283169 is a deficient number, since it is larger than the sum of its proper divisors (4070499719698).

9064537283169 is an frugal number, since it uses more digits than its factorization.

9064537283169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9064537283169 in words is "nine trillion, sixty-four billion, five hundred thirty-seven million, two hundred eighty-three thousand, one hundred sixty-nine".

Divisors: 1 3 9 353 1059 2843 3177 8529 25587 124609 373827 1003579 1121481 3010737 8082649 9032211 24247947 72743841 354263387 1062790161 2853175097 3188370483 8559525291 25678575873 1007170809241 3021512427723 9064537283169