Search a number
-
+
3463369386169 = 72112241692
BaseRepresentation
bin110010011001100000111…
…001101110100010111001
3110021002120011112000002111
4302121200321232202321
5423220440030324134
611211014441332321
7505135344024100
oct62314071564271
913232504460074
103463369386169
111115896801900
1247b2834970a1
131c1795992a44
14bd8b122b037
156015459bc64
hex32660e6e8b9

3463369386169 has 27 divisors (see below), whose sum is σ = 4428552825711. Its totient is φ = 2698617731040.

The previous prime is 3463369386137. The next prime is 3463369386179. The reversal of 3463369386169 is 9616839633643.

The square root of 3463369386169 is 1861013.

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

3463369386169 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 only one way, i.e., 3381321512569 + 82047873600 = 1838837^2 + 286440^2 .

It is not a de Polignac number, because 3463369386169 - 25 = 3463369386137 is a prime.

It is a super-2 number, since 2×34633693861692 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3463369386109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143285917 + ... + 143310085.

Almost surely, 23463369386169 is an apocalyptic number.

3463369386169 is the 1861013-rd square number.

3463369386169 is the 930507-th centered octagonal number.

It is an amenable number.

3463369386169 is a deficient number, since it is larger than the sum of its proper divisors (965183439542).

3463369386169 is an frugal number, since it uses more digits than its factorization.

3463369386169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48374 (or 24187 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 67.

The spelling of 3463369386169 in words is "three trillion, four hundred sixty-three billion, three hundred sixty-nine million, three hundred eighty-six thousand, one hundred sixty-nine".

Divisors: 1 7 11 49 77 121 539 847 5929 24169 169183 265859 1184281 1861013 2924449 13027091 20471143 143298001 584140561 4088983927 6425546171 28622887489 44978823197 70681007881 314851762379 494767055167 3463369386169