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982164168 = 233213641169
BaseRepresentation
bin111010100010101…
…010001011001000
32112110010002221200
4322202222023020
54002413223133
6241243104200
733224154246
oct7242521310
92473102850
10982164168
11464451527
12234b12060
13128633b3b
1494627796
155b35b913
hex3a8aa2c8

982164168 has 24 divisors (see below), whose sum is σ = 2660028150. Its totient is φ = 327388032.

The previous prime is 982164167. The next prime is 982164173. The reversal of 982164168 is 861461289.

It can be written as a sum of positive squares in only one way, i.e., 972317124 + 9847044 = 31182^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (982164167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6820513 + ... + 6820656.

Almost surely, 2982164168 is an apocalyptic number.

It is an amenable number.

982164168 is an abundant number, since it is smaller than the sum of its proper divisors (1677863982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

982164168 is a wasteful number, since it uses less digits than its factorization.

982164168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641181 (or 13641174 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 982164168 is about 31339.4985282152. The cubic root of 982164168 is about 994.0190218848.

The spelling of 982164168 in words is "nine hundred eighty-two million, one hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13641169 27282338 40923507 54564676 81847014 109129352 122770521 163694028 245541042 327388056 491082084 982164168