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209055615076 = 227211229692
BaseRepresentation
bin1100001010110010101…
…1111000100001100100
3201222121110000121001101
43002230223320201210
511411121214140301
6240012215205444
721050410260100
oct3025453704144
9658543017041
10209055615076
1180729498900
1234624376884
13169384725a9
14a192a52900
155688489701
hex30acaf8864

209055615076 has 81 divisors (see below), whose sum is σ = 467941144377. Its totient is φ = 81422806080.

The previous prime is 209055615059. The next prime is 209055615079. The reversal of 209055615076 is 670516550902.

The square root of 209055615076 is 457226.

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

It can be written as a sum of positive squares in only one way, i.e., 1265509476 + 207790105600 = 35574^2 + 455840^2 .

It is not an unprimeable number, because it can be changed into a prime (209055615079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70411320 + ... + 70414288.

Almost surely, 2209055615076 is an apocalyptic number.

209055615076 is the 457226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209055615076

209055615076 is an abundant number, since it is smaller than the sum of its proper divisors (258885529301).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209055615076 is an equidigital number, since it uses as much as digits as its factorization.

209055615076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 209055615076 in words is "two hundred nine billion, fifty-five million, six hundred fifteen thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 2969 3388 5929 5938 11858 11876 20783 23716 32659 41566 65318 83132 130636 145481 228613 290962 359249 457226 581924 718498 914452 1436996 1600291 2514743 3200582 5029486 6401164 8814961 10058972 17603201 17629922 35206402 35259844 61704727 70412804 96964571 123409454 193929142 246818908 387858284 431933089 678751997 863866178 1066610281 1357503994 1727732356 2133220562 2715007988 4266441124 4751263979 7466271967 9502527958 14932543934 19005055916 29865087868 52263903769 104527807538 209055615076