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11816342209 = 725322932
BaseRepresentation
bin10110000000100111…
…10001001011000001
31010111111112101020001
423000103301023001
5143144440422314
65232305120001
7565551152200
oct130023611301
933444471201
1011816342209
115014020881
122359329001
1311640aca89
14801491237
15492593674
hex2c04f12c1

11816342209 has 27 divisors (see below), whose sum is σ = 14057762313. Its totient is φ = 9903278112.

The previous prime is 11816342191. The next prime is 11816342221. The reversal of 11816342209 is 90224361811.

The square root of 11816342209 is 108703.

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 5844143809 + 5972198400 = 76447^2 + 77280^2 .

It is not a de Polignac number, because 11816342209 - 27 = 11816342081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11816342249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40328667 + ... + 40328959.

Almost surely, 211816342209 is an apocalyptic number.

11816342209 is the 108703-rd square number.

11816342209 is the 54352-nd centered octagonal number.

It is an amenable number.

11816342209 is a deficient number, since it is larger than the sum of its proper divisors (2241420104).

11816342209 is an frugal number, since it uses more digits than its factorization.

11816342209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 11816342209 by its product of nonzero digits (20736), we get a square (245023672045824 = 156532322).

It can be divided in two parts, 11816 and 342209, that added together give a square (354025 = 5952).

The spelling of 11816342209 in words is "eleven billion, eight hundred sixteen million, three hundred forty-two thousand, two hundred nine".

Divisors: 1 7 49 53 293 371 2051 2597 2809 14357 15529 19663 85849 108703 137641 600943 760921 823037 4206601 4549997 5761259 31849979 40328813 222949853 241149841 1688048887 11816342209