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98195116321 = 172184332
BaseRepresentation
bin101101101110011100…
…0101001000100100001
3100101110101102202022001
41123130320221010201
53102100422210241
6113035450044001
710044236500651
oct1333470510441
9311411382261
1098195116321
113870a6462a5
1217045419601
13934b8cc833
144a77476361
15284aa69431
hex16dce29121

98195116321 has 9 divisors (see below), whose sum is σ = 104316734361. Its totient is φ = 92413919232.

The previous prime is 98195116319. The next prime is 98195116337. The reversal of 98195116321 is 12361159189.

The square root of 98195116321 is 313361.

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 12064605921 + 86130510400 = 109839^2 + 293480^2 .

It is not a de Polignac number, because 98195116321 - 21 = 98195116319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98195116391) 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, 5317921 + ... + 5336353.

Almost surely, 298195116321 is an apocalyptic number.

98195116321 is the 313361-st square number.

98195116321 is the 156681-st centered octagonal number.

It is an amenable number.

98195116321 is a deficient number, since it is larger than the sum of its proper divisors (6121618040).

98195116321 is an frugal number, since it uses more digits than its factorization.

98195116321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36900 (or 18450 counting only the distinct ones).

The product of its digits is 116640, while the sum is 46.

The spelling of 98195116321 in words is "ninety-eight billion, one hundred ninety-five million, one hundred sixteen thousand, three hundred twenty-one".

Divisors: 1 17 289 18433 313361 5327137 339775489 5776183313 98195116321