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166561445136114 = 232760119331137883
BaseRepresentation
bin100101110111110010011011…
…110001010100011011110010
3210211202010012111022122012200
4211313302123301110123302
5133312420314423323424
61350125134354004030
750040444611541210
oct4567623361243362
9724663174278180
10166561445136114
1149087348593356
1216820882b76616
1371c28a51521a2
142d1b88cd11cb0
15143c9a349e8c9
hex977c9bc546f2

166561445136114 has 96 divisors (see below), whose sum is σ = 413338201820544. Its totient is φ = 47485181318400.

The previous prime is 166561445136091. The next prime is 166561445136137. The reversal of 166561445136114 is 411631544165661.

166561445136114 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 6 + 1 + 4 + 4 + 5 + 13 + 611 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (166561445136091) and next prime (166561445136137).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145809417 + ... + 146947299.

It is an arithmetic number, because the mean of its divisors is an integer number (4305606268964).

Almost surely, 2166561445136114 is an apocalyptic number.

166561445136114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

166561445136114 is an abundant number, since it is smaller than the sum of its proper divisors (246776756684430).

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

166561445136114 is a wasteful number, since it uses less digits than its factorization.

166561445136114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140432 (or 1140429 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 166561445136114 in words is "one hundred sixty-six trillion, five hundred sixty-one billion, four hundred forty-five million, one hundred thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 601 1202 1803 1933 3606 3866 4207 5409 5799 8414 10818 11598 12621 13531 17397 25242 27062 34794 37863 40593 75726 81186 121779 243558 1137883 1161733 2275766 2323466 3413649 3485199 6827298 6970398 7965181 8132131 10240947 10455597 15930362 16264262 20481894 20911194 23895543 24396393 47791086 48792786 71686629 73189179 143373258 146378358 683867683 1367735366 2051603049 2199527839 4103206098 4399055678 4787073781 6154809147 6598583517 9574147562 12309618294 13197167034 14361221343 15396694873 19795750551 28722442686 30793389746 39591501102 43083664029 46190084619 86167328058 92380169238 138570253857 277140507714 1321916231239 2643832462478 3965748693717 7931497387434 9253413618673 11897246081151 18506827237346 23794492162302 27760240856019 55520481712038 83280722568057 166561445136114