Search a number
-
+
238906865961 = 364324212
BaseRepresentation
bin1101111001111111110…
…1010111100100101001
3211211122211102021000000
43132133331113210221
512403240124202321
6301430255133213
723155222566051
oct3363775274451
9754584367000
10238906865961
1192357774485
123a375514209
13196b4a85c5a
14b7c541a561
156333ece826
hex379ff57929

238906865961 has 63 divisors (see below), whose sum is σ = 367593452487. Its totient is φ = 155197743120.

The previous prime is 238906865959. The next prime is 238906866017. The reversal of 238906865961 is 169568609832.

The square root of 238906865961 is 488781.

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

238906865961 is a `hidden beast` number, since 2 + 38 + 9 + 0 + 6 + 8 + 6 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1133601561 + 237773264400 = 33669^2 + 487620^2 .

It is not a de Polignac number, because 238906865961 - 21 = 238906865959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238906864961) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 567474531 + ... + 567474951.

Almost surely, 2238906865961 is an apocalyptic number.

238906865961 is the 488781-st square number.

238906865961 is the 244391-st centered octagonal number.

It is an amenable number.

238906865961 is a deficient number, since it is larger than the sum of its proper divisors (128686586526).

238906865961 is an frugal number, since it uses more digits than its factorization.

238906865961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 238906865961 in words is "two hundred thirty-eight billion, nine hundred six million, eight hundred sixty-five thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 43 81 129 243 387 421 729 1161 1263 1849 3483 3789 5547 10449 11367 16641 18103 31347 34101 49923 54309 102303 149769 162927 177241 306909 449307 488781 531723 778429 1347921 1466343 1595169 2335287 4399029 4785507 7005861 7621363 13197087 14356521 21017583 22864089 43069563 63052749 68592267 129208689 189158247 205776801 327718609 567474741 617330403 983155827 1851991209 2949467481 5555973627 8848402443 26545207329 79635621987 238906865961