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204104264841 = 3241236732
BaseRepresentation
bin1011111000010110001…
…1111110110010001001
3201111211101011221102100
42332011203332302021
511321001142433331
6233433022424013
720513615424501
oct2760543766211
9644741157370
10204104264841
117961859a114
1233682132009
1316329718659
149c43216a01
155498942ae6
hex2f858fec89

204104264841 has 27 divisors (see below), whose sum is σ = 302265612597. Its totient is φ = 132714599040.

The previous prime is 204104264827. The next prime is 204104264849. The reversal of 204104264841 is 148462401402.

The square root of 204104264841 is 451779.

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

204104264841 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 4 + 2 + 648 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160796990025 + 43307274816 = 400995^2 + 208104^2 .

It is not a de Polignac number, because 204104264841 - 211 = 204104262793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204104264796 and 204104264805.

It is not an unprimeable number, because it can be changed into a prime (204104264849) 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, 55566981 + ... + 55570653.

Almost surely, 2204104264841 is an apocalyptic number.

204104264841 is the 451779-th square number.

204104264841 is the 225890-th centered octagonal number.

It is an amenable number.

204104264841 is a deficient number, since it is larger than the sum of its proper divisors (98161347756).

204104264841 is an frugal number, since it uses more digits than its factorization.

204104264841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 204104264841 by its sum of digits (36), we get a square (7347753534276 = 27106742).

The spelling of 204104264841 in words is "two hundred four billion, one hundred four million, two hundred sixty-four thousand, eight hundred forty-one".

Divisors: 1 3 9 41 123 369 1681 3673 5043 11019 15129 33057 150593 451779 1355337 6174313 13490929 18522939 40472787 55568817 121418361 553128089 1659384267 4978152801 22678251649 68034754947 204104264841