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166733451020 = 225173131814973
BaseRepresentation
bin1001101101001000010…
…1101000111100001100
3120221100221101220022202
42123102011220330030
510212432230413040
6204332444301032
715021544643513
oct2332205507414
9527327356282
10166733451020
1164790760614
1228392841778
1312952287776
1480d9cc767a
15450cba4015
hex26d2168f0c

166733451020 has 96 divisors (see below), whose sum is σ = 382893267456. Its totient is φ = 60714086400.

The previous prime is 166733451011. The next prime is 166733451041. The reversal of 166733451020 is 20154337661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33525254 + ... + 33530226.

It is an arithmetic number, because the mean of its divisors is an integer number (3988471536).

Almost surely, 2166733451020 is an apocalyptic number.

166733451020 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 166733451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191446633728).

166733451020 is an abundant number, since it is smaller than the sum of its proper divisors (216159816436).

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

166733451020 is a wasteful number, since it uses less digits than its factorization.

166733451020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8209 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 166733451020 its reverse (20154337661), we get a palindrome (186887788681).

The spelling of 166733451020 in words is "one hundred sixty-six billion, seven hundred thirty-three million, four hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 3181 4973 5270 6362 9946 10540 12724 15905 19892 24865 31810 49730 54077 63620 84541 98611 99460 108154 154163 169082 197222 216308 270385 308326 338164 394444 422705 493055 540770 616652 770815 845410 986110 1081540 1541630 1676387 1690820 1972220 2620771 3083260 3352774 5241542 6705548 8381935 10483084 13103855 15819113 16763870 26207710 31638226 33527740 52415420 63276452 79095565 158191130 268924921 316382260 490392503 537849842 980785006 1075699684 1344624605 1961570012 2451962515 2689249210 4903925030 5378498420 8336672551 9807850060 16673345102 33346690204 41683362755 83366725510 166733451020