Search a number
-
+
206667120000 = 273541178283
BaseRepresentation
bin1100000001111001010…
…0011111110110000000
3201202102222122110202210
43000132110133312000
511341223240320000
6234535213342120
720634255351435
oct3003624376600
9652388573683
10206667120000
117a713224130
1234078497940
13166476844b3
14a007749b8c
155598937350
hex301e51fd80

206667120000 has 320 divisors, whose sum is σ = 748351200960. Its totient is φ = 50100480000.

The previous prime is 206667119957. The next prime is 206667120041. The reversal of 206667120000 is 21766602.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2066671200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 206667120000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2600859 + ... + 2679141.

It is an arithmetic number, because the mean of its divisors is an integer number (2338597503).

Almost surely, 2206667120000 is an apocalyptic number.

206667120000 is a gapful number since it is divisible by the number (20) 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 206667120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374175600480).

206667120000 is an abundant number, since it is smaller than the sum of its proper divisors (541684080960).

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

206667120000 is an equidigital number, since it uses as much as digits as its factorization.

206667120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78331 (or 78304 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 206667120000 its reverse (21766602), we get a palindrome (206688886602).

The spelling of 206667120000 in words is "two hundred six billion, six hundred sixty-seven million, one hundred twenty thousand".