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166436505110146 = 217411812417272917
BaseRepresentation
bin100101110101111110000100…
…110000111100011010000010
3210211022011201012121201001111
4211311332010300330122002
5133303343430302011041
61345551512551353534
750025432516046555
oct4565760460743202
9724264635551044
10166436505110146
1149039364164647
12168006149828aa
1371b3b8367743b
142d157d987a69c
1514395de98c981
hex975f84c3c682

166436505110146 has 64 divisors (see below), whose sum is σ = 272397372889824. Its totient is φ = 75958854451200.

The previous prime is 166436505110101. The next prime is 166436505110153. The reversal of 166436505110146 is 641011505634661.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5035360969521 + 161401144140625 = 2243961^2 + 12704375^2 .

It is a super-2 number, since 2×1664365051101462 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166436505110146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609706480 + ... + 609979396.

Almost surely, 2166436505110146 is an apocalyptic number.

166436505110146 is a deficient number, since it is larger than the sum of its proper divisors (105960867779678).

166436505110146 is a wasteful number, since it uses less digits than its factorization.

166436505110146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275575.

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 166436505110146 in words is "one hundred sixty-six trillion, four hundred thirty-six billion, five hundred five million, one hundred ten thousand, one hundred forty-six".

Divisors: 1 2 17 34 41 82 181 362 697 1394 2417 3077 4834 6154 7421 14842 41089 82178 99097 126157 198194 252314 272917 437477 545834 874954 1684649 3369298 4639589 7437109 9279178 11189597 14874218 17936557 22379194 35873114 49397977 98795954 190223149 304921469 380446298 609842938 659640389 839765609 1319280778 1679531218 2025317057 4050634114 11213886613 22427773226 27045255949 34430389969 54090511898 68860779938 119394910409 238789820818 459769351133 919538702266 2029713476953 4059426953906 4895191326769 9790382653538 83218252555073 166436505110146