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238428255861 = 33235359199617
BaseRepresentation
bin1101111000001101101…
…1100111011001110101
3211210102110211100101000
43132003123213121311
512401300113141421
6301311000553513
723140321510245
oct3360333473165
9753373740330
10238428255861
1192131597644
123a261182899
131963987cb03
14b77ba31b25
156306e8e226
hex37836e7675

238428255861 has 128 divisors (see below), whose sum is σ = 384445440000. Its totient is φ = 145670773248.

The previous prime is 238428255859. The next prime is 238428255881. The reversal of 238428255861 is 168552824832.

238428255861 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 2 + 82 + 558 + 6 + 1 = 666.

It is not a de Polignac number, because 238428255861 - 21 = 238428255859 is a prime.

Its product of digits (7372800) is a multiple of the sum of its prime factors (960).

It is a junction number, because it is equal to n+sod(n) for n = 238428255798 and 238428255807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238428255881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 386431225 + ... + 386431841.

It is an arithmetic number, because the mean of its divisors is an integer number (3003480000).

Almost surely, 2238428255861 is an apocalyptic number.

It is an amenable number.

238428255861 is a deficient number, since it is larger than the sum of its proper divisors (146017184139).

238428255861 is a wasteful number, since it uses less digits than its factorization.

238428255861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 238428255861 in words is "two hundred thirty-eight billion, four hundred twenty-eight million, two hundred fifty-five thousand, eight hundred sixty-one".

Divisors: 1 3 9 23 27 53 59 69 159 177 199 207 477 531 597 617 621 1219 1357 1431 1593 1791 1851 3127 3657 4071 4577 5373 5553 9381 10547 10971 11741 12213 13731 14191 16659 28143 31641 32701 32913 35223 36403 36639 41193 42573 71921 84429 94923 98103 105669 109209 122783 123579 127719 215763 242581 270043 284769 294309 317007 327627 368349 383157 622273 647289 727743 752123 810129 837269 882927 982881 1105047 1866819 1929359 1941867 2183229 2256369 2430387 2511807 2824009 3315141 5600457 5788077 6507499 6549687 6769107 7244197 7291161 7535421 8472027 14312279 16801371 17364231 19522497 20307321 21732591 22606263 25416081 42936837 44375257 52092693 58567491 65197773 76248243 128810511 133125771 149672477 166616531 175702473 195593319 383942441 386431533 399377313 449017431 499849593 1151827323 1198131939 1347052293 1499548779 3455481969 4041156879 4498646337 8830676143 10366445907 26492028429 79476085287 238428255861