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204413398641 = 321507072
BaseRepresentation
bin1011111001011111111…
…1001110111001110001
3201112121220212120021100
42332113333032321301
511322114312224031
6233523424315013
720524361135304
oct2762777167161
9645556776240
10204413398641
11797670419a1
1233749772a69
131637879396a
149c722c6b3b
1554b5b57de6
hex2f97fcee71

204413398641 has 9 divisors (see below), whose sum is σ = 295265757241. Its totient is φ = 136274694852.

The previous prime is 204413398603. The next prime is 204413398661. The reversal of 204413398641 is 146893314402.

The square root of 204413398641 is 452121.

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

204413398641 is a `hidden beast` number, since 204 + 4 + 13 + 398 + 6 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 204413398641 - 213 = 204413390449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204413398601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1281010 + ... + 1431716.

Almost surely, 2204413398641 is an apocalyptic number.

204413398641 is the 452121-st square number.

204413398641 is the 226061-st centered octagonal number.

It is an amenable number.

204413398641 is a deficient number, since it is larger than the sum of its proper divisors (90852358600).

204413398641 is an frugal number, since it uses more digits than its factorization.

204413398641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301420 (or 150710 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 204413398641 in words is "two hundred four billion, four hundred thirteen million, three hundred ninety-eight thousand, six hundred forty-one".

Divisors: 1 3 9 150707 452121 1356363 22712599849 68137799547 204413398641