Search a number
-
+
166736163100 = 22521310110312329
BaseRepresentation
bin1001101101001000111…
…1111111000100011100
3120221101010111200121011
42123102033333010130
510212433424204400
6204333022345004
715021610000453
oct2332217770434
9527333450534
10166736163100
1164792243201
122839372b164
13129529c7050
1480da3d1b9a
15450d03c8ba
hex26d23ff11c

166736163100 has 144 divisors (see below), whose sum is σ = 397360192320. Its totient is φ = 60357888000.

The previous prime is 166736163071. The next prime is 166736163169. The reversal of 166736163100 is 1361637661.

It is a super-2 number, since 2×1667361631002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 13517736 + ... + 13530064.

It is an arithmetic number, because the mean of its divisors is an integer number (2759445780).

Almost surely, 2166736163100 is an apocalyptic number.

166736163100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166736163100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198680096160).

166736163100 is an abundant number, since it is smaller than the sum of its proper divisors (230624029220).

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

166736163100 is a wasteful number, since it uses less digits than its factorization.

166736163100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 166736163100 in words is "one hundred sixty-six billion, seven hundred thirty-six million, one hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 103 130 202 206 260 325 404 412 505 515 650 1010 1030 1300 1313 1339 2020 2060 2525 2575 2626 2678 5050 5150 5252 5356 6565 6695 10100 10300 10403 12329 13130 13390 20806 24658 26260 26780 32825 33475 41612 49316 52015 61645 65650 66950 104030 123290 131300 133900 135239 160277 208060 246580 260075 270478 308225 320554 520150 540956 616450 641108 676195 801385 1040300 1232900 1245229 1269887 1352390 1602770 2490458 2539774 2704780 3205540 3380975 4006925 4980916 5079548 6226145 6349435 6761950 8013850 12452290 12698870 13523900 16027700 16187977 16508531 24904580 25397740 31130725 31747175 32375954 33017062 62261450 63494350 64751908 66034124 80939885 82542655 124522900 126988700 128258587 161879770 165085310 256517174 323759540 330170620 404699425 412713275 513034348 641292935 809398850 825426550 1282585870 1618797700 1650853100 1667361631 2565171740 3206464675 3334723262 6412929350 6669446524 8336808155 12825858700 16673616310 33347232620 41684040775 83368081550 166736163100