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95164229169 = 321028292
BaseRepresentation
bin101100010100000111…
…0101110011000110001
3100002122011021201202100
41120220032232120301
53024344020313134
6111415015411013
76606154413162
oct1305016563061
9302564251670
1095164229169
11373a47a9989
121653a383a69
138c879c2599
14486ab0d769
15271e923999
hex16283ae631

95164229169 has 9 divisors (see below), whose sum is σ = 137460778923. Its totient is φ = 63442202472.

The previous prime is 95164229123. The next prime is 95164229219. The reversal of 95164229169 is 96192246159.

The square root of 95164229169 is 308487.

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

95164229169 is a `hidden beast` number, since 9 + 51 + 6 + 422 + 9 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16618561569 + 78545667600 = 128913^2 + 280260^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 95164229169 - 229 = 94627358257 is a prime.

It is a super-4 number, since 4×951642291694 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (95164229869) 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 8 ways as a sum of consecutive naturals, for example, 874047 + ... + 976875.

Almost surely, 295164229169 is an apocalyptic number.

95164229169 is the 308487-th square number.

95164229169 is the 154244-th centered octagonal number.

It is an amenable number.

95164229169 is a deficient number, since it is larger than the sum of its proper divisors (42296549754).

95164229169 is an frugal number, since it uses more digits than its factorization.

95164229169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205664 (or 102832 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 95164229169 in words is "ninety-five billion, one hundred sixty-four million, two hundred twenty-nine thousand, one hundred sixty-nine".

Divisors: 1 3 9 102829 308487 925461 10573803241 31721409723 95164229169