Search a number
-
+
3713857016769 = 3217229213032
BaseRepresentation
bin110110000010110011001…
…000001101001111000001
3111011001010002012001122100
4312002303020031033001
5441321434344014034
611522042232501013
7532213560532314
oct66026310151701
914131102161570
103713857016769
111202046514149
124bb92b24a769
1320c2a4a95843
14cba746d497b
15669150d9099
hex360b320d3c1

3713857016769 has 81 divisors (see below), whose sum is σ = 5906390345193. Its totient is φ = 2248182607104.

The previous prime is 3713857016741. The next prime is 3713857016791. The reversal of 3713857016769 is 9676107583173.

It is a happy number.

The square root of 3713857016769 is 1927137.

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

3713857016769 is a `hidden beast` number, since 3 + 71 + 385 + 70 + 1 + 67 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367108751025 + 3346748265744 = 605895^2 + 1829412^2 .

It is not a de Polignac number, because 3713857016769 - 219 = 3713856492481 is a prime.

It is a super-2 number, since 2×37138570167692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3713857016729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2850234972 + ... + 2850236274.

Almost surely, 23713857016769 is an apocalyptic number.

3713857016769 is the 1927137-th square number.

3713857016769 is the 963569-th centered octagonal number.

It is an amenable number.

3713857016769 is a deficient number, since it is larger than the sum of its proper divisors (2192533328424).

3713857016769 is an equidigital number, since it uses as much as digits as its factorization.

3713857016769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 3713857016769 in words is "three trillion, seven hundred thirteen billion, eight hundred fifty-seven million, sixteen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 17 29 51 87 153 261 289 493 841 867 1303 1479 2523 2601 3909 4437 7569 8381 11727 14297 22151 25143 37787 42891 66453 75429 113361 128673 199359 243049 340083 376567 642379 729147 1095823 1129701 1697809 1927137 2187441 3287469 3389103 5093427 5781411 9862407 10920443 15280281 18628991 28862753 32761329 49236461 55886973 86588259 98283987 147709383 167660919 259764777 316692847 443128149 490666801 837019837 950078541 1427857369 1472000403 2511059511 2850235623 4283572107 4416001209 7533178533 12850716321 14229337229 24273575273 42688011687 72820725819 128064035061 218462177457 412650779641 1237952338923 3713857016769