Search a number
-
+
3783371217921 = 34172127132
BaseRepresentation
bin110111000011100010011…
…111110101110000000001
3111101200112122102100210000
4313003202133311300001
5443441321012433141
612014020131230213
7540224315512641
oct67034237656001
914350478370700
103783371217921
111229578469369
125112ab448369
13215a0268ac49
14d118a9b0521
1568632c395b6
hex370e27f5c01

3783371217921 has 45 divisors (see below), whose sum is σ = 6004184134201. Its totient is φ = 2373693251328.

The previous prime is 3783371217907. The next prime is 3783371217971. The reversal of 3783371217921 is 1297121733873.

The square root of 3783371217921 is 1945089.

It is a perfect power (a square), and thus also a powerful number.

3783371217921 is a `hidden beast` number, since 3 + 7 + 8 + 337 + 1 + 217 + 92 + 1 = 666.

3783371217921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2134407043521 + 1648964174400 = 1460961^2 + 1284120^2 .

It is not a de Polignac number, because 3783371217921 - 27 = 3783371217793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3783371217971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 297592261 + ... + 297604973.

Almost surely, 23783371217921 is an apocalyptic number.

3783371217921 is the 1945089-th square number.

3783371217921 is the 972545-th centered octagonal number.

It is an amenable number.

3783371217921 is a deficient number, since it is larger than the sum of its proper divisors (2220812916280).

3783371217921 is an frugal number, since it uses more digits than its factorization.

3783371217921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 12733 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 3783371217921 in words is "three trillion, seven hundred eighty-three billion, three hundred seventy-one million, two hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 7803 12713 23409 38139 114417 216121 343251 648363 1029753 1945089 3674057 5835267 11022171 17505801 33066513 99199539 161620369 297598617 484861107 1454583321 2747546273 4363749963 8242638819 13091249889 24727916457 46708286641 74183749371 140124859923 222551248113 420374579769 1261123739307 3783371217921