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212289649846569 = 34432376492
BaseRepresentation
bin110000010001001110001001…
…001010110010100100101001
31000211122200200200222220210000
4300101032021022302210221
5210311123200330042234
62031300304021013213
762500264265364231
oct6021161112624451
91024580620886700
10212289649846569
1161707597a5aa39
121b9871a6254209
13915ba9c3b1c09
143a5cc33cb4cc1
15198221ab96899
hexc113892b2929

212289649846569 has 45 divisors (see below), whose sum is σ = 324679157576103. Its totient is φ = 138231449149248.

The previous prime is 212289649846559. The next prime is 212289649846577. The reversal of 212289649846569 is 965648946982212.

The square root of 212289649846569 is 14570163.

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

212289649846569 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 8 + 9 + 6 + 4 + 9 + 8 + 46 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203363657076969 + 8925992769600 = 14260563^2 + 2987640^2 .

It is a de Polignac number, because none of the positive numbers 2k-212289649846569 is a prime.

It is a super-2 number, since 2×2122896498465692 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212289649846559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5638634257 + ... + 5638671905.

Almost surely, 2212289649846569 is an apocalyptic number.

212289649846569 is the 14570163-rd square number.

212289649846569 is the 7285082-nd centered octagonal number.

It is an amenable number.

212289649846569 is a deficient number, since it is larger than the sum of its proper divisors (112389507729534).

212289649846569 is an frugal number, since it uses more digits than its factorization.

212289649846569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75396 (or 37695 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

212289649846569 divided by its sum of digits (81) gives a square (2620859874649 = 16189072).

The spelling of 212289649846569 in words is "two hundred twelve trillion, two hundred eighty-nine billion, six hundred forty-nine million, eight hundred forty-six thousand, five hundred sixty-nine".

Divisors: 1 3 9 27 43 81 129 387 1161 1849 3483 5547 16641 37649 49923 112947 149769 338841 1016523 1618907 3049569 4856721 14570163 43710489 69613001 131131467 208839003 626517009 1417447201 1879551027 4252341603 5638653081 12757024809 38271074427 60950229643 114813223281 182850688929 548552066787 1645656200361 2620859874649 4936968601083 7862579623947 23587738871841 70763216615523 212289649846569