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2716181689 = 1321922112
BaseRepresentation
bin1010000111100101…
…1010010010111001
321000021222022210211
42201321122102321
521030320303224
61125305111121
7124211110024
oct24171322271
97007868724
102716181689
111174239561
126397884a1
13343960c00
141baa461bb
1510d6ce894
hexa1e5a4b9

2716181689 has 27 divisors (see below), whose sum is σ = 3118918959. Its totient is φ = 2364027120.

The previous prime is 2716181669. The next prime is 2716181693. The reversal of 2716181689 is 9861816172.

The square root of 2716181689 is 52117.

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

2716181689 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., 401802025 + 2314379664 = 20045^2 + 48108^2 .

It is not a de Polignac number, because 2716181689 - 29 = 2716181177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2716181659) 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, 12872794 + ... + 12873004.

It is an arithmetic number, because the mean of its divisors is an integer number (115515517).

Almost surely, 22716181689 is an apocalyptic number.

2716181689 is the 52117-th square number.

2716181689 is the 26059-th centered octagonal number.

It is an amenable number.

2716181689 is a deficient number, since it is larger than the sum of its proper divisors (402737270).

2716181689 is an equidigital number, since it uses as much as digits as its factorization.

2716181689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its digits is 290304, while the sum is 49.

The cubic root of 2716181689 is about 1395.2529166348.

Multiplying 2716181689 by its sum of digits (49), we get a square (133092902761 = 3648192).

The spelling of 2716181689 in words is "two billion, seven hundred sixteen million, one hundred eighty-one thousand, six hundred eighty-nine".

Divisors: 1 13 19 169 211 247 361 2743 3211 4009 4693 35659 44521 52117 61009 76171 578773 677521 845899 990223 7524049 10996687 12872899 16072081 142956931 208937053 2716181689