Search a number
-
+
204945438681 = 318232
BaseRepresentation
bin1011111011011110110…
…0110011011111011001
3201121000000000000000000
42332313230303133121
511324212013014211
6234052312003213
720543511325404
oct2766754633731
9647000000000
10204945438681
1179a0a3a2505
1233877990509
1316431a86459
149cc2c1cd3b
1554e76ee656
hex2fb7b337d9

204945438681 has 57 divisors (see below), whose sum is σ = 321365295349. Its totient is φ = 130689844956.

The previous prime is 204945438679. The next prime is 204945438683. The reversal of 204945438681 is 186834549402.

The square root of 204945438681 is 452709.

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

204945438681 is a `hidden beast` number, since 2 + 0 + 4 + 94 + 543 + 8 + 6 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (204945438679) and next prime (204945438683).

It is not a de Polignac number, because 204945438681 - 21 = 204945438679 is a prime.

It is a super-2 number, since 2×2049454386812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204945438683) by changing a digit.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 8910671236 + ... + 8910671258.

Almost surely, 2204945438681 is an apocalyptic number.

204945438681 is the 452709-th square number.

204945438681 is the 226355-th centered octagonal number.

It is an amenable number.

204945438681 is a deficient number, since it is larger than the sum of its proper divisors (116419856668).

204945438681 is an frugal number, since it uses more digits than its factorization.

204945438681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 204945438681 in words is "two hundred four billion, nine hundred forty-five million, four hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1587 1863 2187 4761 5589 6561 14283 16767 19683 42849 50301 59049 128547 150903 177147 385641 452709 531441 1156923 1358127 1594323 3470769 4074381 4782969 10412307 12223143 14348907 31236921 36669429 43046721 93710763 110008287 129140163 281132289 330024861 387420489 843396867 990074583 2530190601 2970223749 7590571803 8910671247 22771715409 68315146227 204945438681