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98167832161 = 737573766067
BaseRepresentation
bin101101101101101000…
…0100011111001100001
3100101101111002120110121
41123123100203321201
53102021431112121
6113033033200241
710043455543210
oct1333320437141
9311344076417
1098167832161
11386a6200303
1217038260081
139346068a69
144a739b3077
15284847a141
hex16db423e61

98167832161 has 16 divisors (see below), whose sum is σ = 115245847936. Its totient is φ = 81854188416.

The previous prime is 98167832159. The next prime is 98167832167. The reversal of 98167832161 is 16123876189.

It is not a de Polignac number, because 98167832161 - 21 = 98167832159 is a prime.

It is a super-3 number, since 3×981678321613 (a number of 34 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98167832099 and 98167832108.

It is not an unprimeable number, because it can be changed into a prime (98167832167) 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 15 ways as a sum of consecutive naturals, for example, 1452850 + ... + 1518916.

It is an arithmetic number, because the mean of its divisors is an integer number (7202865496).

Almost surely, 298167832161 is an apocalyptic number.

It is an amenable number.

98167832161 is a deficient number, since it is larger than the sum of its proper divisors (17078015775).

98167832161 is a wasteful number, since it uses less digits than its factorization.

98167832161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71848.

The product of its digits is 870912, while the sum is 52.

The spelling of 98167832161 in words is "ninety-eight billion, one hundred sixty-seven million, eight hundred thirty-two thousand, one hundred sixty-one".

Divisors: 1 7 37 259 5737 40159 66067 212269 462469 1485883 2444479 17111353 379026379 2653184653 14023976023 98167832161