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73052900089 = 13217212232
BaseRepresentation
bin100010000001001001…
…0101100101011111001
320222120011220211111021
41010002102230223321
52144103020300324
653320545102441
75164214256001
oct1040222545371
9228504824437
1073052900089
1128a885040a4
12121a9327a21
136b72a91300
14377026d001
151d78653ae4
hex11024acaf9

73052900089 has 27 divisors (see below), whose sum is σ = 84100316493. Its totient is φ = 63414878592.

The previous prime is 73052900083. The next prime is 73052900117. The reversal of 73052900089 is 98000925037.

It is a happy number.

The square root of 73052900089 is 270283.

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 659616489 + 72393283600 = 25683^2 + 269060^2 .

It is not a de Polignac number, because 73052900089 - 229 = 72516029177 is a prime.

It is a super-2 number, since 2×730529000892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73052900083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59731932 + ... + 59733154.

Almost surely, 273052900089 is an apocalyptic number.

73052900089 is the 270283-rd square number.

73052900089 is the 135142-nd centered octagonal number.

It is an amenable number.

73052900089 is a deficient number, since it is larger than the sum of its proper divisors (11047416404).

73052900089 is an equidigital number, since it uses as much as digits as its factorization.

73052900089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 73052900089 in words is "seventy-three billion, fifty-two million, nine hundred thousand, eighty-nine".

Divisors: 1 13 17 169 221 289 1223 2873 3757 15899 20791 48841 206687 270283 353447 1495729 3513679 4594811 19444477 25427393 59732543 252778201 330556109 432265681 4297229417 5619453853 73052900089