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209332785841 = 312147592
BaseRepresentation
bin1100001011110100110…
…1001101001010110001
3202000022202120022212021
43002331031031022301
511412203143121331
6240055520031441
721060314215114
oct3027515151261
9660282508767
10209332785841
118086099a353
12346a1162581
1316980a0926a
14a1bb7a257b
1556a2989211
hex30bd34d2b1

209332785841 has 9 divisors (see below), whose sum is σ = 216317941113. Its totient is φ = 202566389460.

The previous prime is 209332785839. The next prime is 209332785929. The reversal of 209332785841 is 148587233902.

It is a happy number.

The square root of 209332785841 is 457529.

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

209332785841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 209332785841 - 21 = 209332785839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209332785341) 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 8 ways as a sum of consecutive naturals, for example, 14176020 + ... + 14190778.

Almost surely, 2209332785841 is an apocalyptic number.

209332785841 is the 457529-th square number.

209332785841 is the 228765-th centered octagonal number.

It is an amenable number.

209332785841 is a deficient number, since it is larger than the sum of its proper divisors (6985155272).

209332785841 is an frugal number, since it uses more digits than its factorization.

209332785841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29580 (or 14790 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 209332785841 in words is "two hundred nine billion, three hundred thirty-two million, seven hundred eighty-five thousand, eight hundred forty-one".

Divisors: 1 31 961 14759 457529 14183399 217828081 6752670511 209332785841