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2716322608129 = 13297213072
BaseRepresentation
bin100111100001110001011…
…100011011010000000001
3100121200022012012122122211
4213201301130123100001
5324001012041430004
65435510020302121
7400151002132264
oct47416134332001
910550265178584
102716322608129
11957a93330569
1237a536b41941
131691c056c900
1495683902cdb
154a9d0053504
hex2787171b401

2716322608129 has 27 divisors (see below), whose sum is σ = 2974254787017. Its totient is φ = 2479626849024.

The previous prime is 2716322608123. The next prime is 2716322608163. The reversal of 2716322608129 is 9218062236172.

It is a happy number.

The square root of 2716322608129 is 1648127.

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

It can be written as a sum of positive squares in 4 ways, for example, as 496282207729 + 2220040400400 = 704473^2 + 1489980^2 .

It is not a de Polignac number, because 2716322608129 - 215 = 2716322575361 is a prime.

It is a super-2 number, since 2×27163226081292 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2716322608123) 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, 2078287494 + ... + 2078288800.

Almost surely, 22716322608129 is an apocalyptic number.

2716322608129 is the 1648127-th square number.

2716322608129 is the 824064-th centered octagonal number.

It is an amenable number.

2716322608129 is a deficient number, since it is larger than the sum of its proper divisors (257932178888).

2716322608129 is an frugal number, since it uses more digits than its factorization.

2716322608129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 2716322608129 by its sum of digits (49), we get a square (133099807798321 = 115368892).

The spelling of 2716322608129 in words is "two trillion, seven hundred sixteen billion, three hundred twenty-two million, six hundred eight thousand, one hundred twenty-nine".

Divisors: 1 13 97 169 1261 1307 9409 16393 16991 122317 126779 220883 1590121 1648127 1708249 12297563 21425651 22207237 159868319 165700153 288694081 2078288147 2154101989 16072914841 28003325857 208947892933 2716322608129