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166404076672000 = 210531300031849
BaseRepresentation
bin100101110101011111110111…
…111000010001010000000000
3210211012002000012210100210211
4211311133313320101100000
5133302331022112001000
61345524551045403504
750023204100632246
oct4565376770212000
9724162005710724
10166404076672000
1149026633155042
12167b6284709594
1371b0ab614a5bb
142d14000acc796
151438842a717ba
hex9757f7e11400

166404076672000 has 88 divisors (see below), whose sum is σ = 415141770724200. Its totient is φ = 66561630617600.

The previous prime is 166404076671971. The next prime is 166404076672003. The reversal of 166404076672000 is 276670404661.

It can be written as a sum of positive squares in 4 ways, for example, as 181435106304 + 166222641565696 = 425952^2 + 12892736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166404076672003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 649887925 + ... + 650143924.

Almost surely, 2166404076672000 is an apocalyptic number.

166404076672000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166404076672000 is an abundant number, since it is smaller than the sum of its proper divisors (248737694052200).

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

166404076672000 is an equidigital number, since it uses as much as digits as its factorization.

166404076672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300031884 (or 1300031856 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 166404076672000 in words is "one hundred sixty-six trillion, four hundred four billion, seventy-six million, six hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2560 3200 4000 5120 6400 8000 12800 16000 25600 32000 64000 128000 1300031849 2600063698 5200127396 6500159245 10400254792 13000318490 20800509584 26000636980 32500796225 41601019168 52001273960 65001592450 83202038336 104002547920 130003184900 162503981125 166404076672 208005095840 260006369800 325007962250 332808153344 416010191680 520012739600 650015924500 665616306688 832020383360 1040025479200 1300031849000 1331232613376 1664040766720 2080050958400 2600063698000 3328081533440 4160101916800 5200127396000 6656163066880 8320203833600 10400254792000 16640407667200 20800509584000 33280815334400 41601019168000 83202038336000 166404076672000