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85045322354058 = 233111923327629161
BaseRepresentation
bin10011010101100100101000…
…001110101000110110001010
3102011010020211201222021202000
4103111210220032220312022
542121340310010312213
6500513140504251430
723625215240412513
oct2325445016506612
9364106751867660
1085045322354058
1125109578384060
12965642a470b76
13385b97c861161
14170030371ba0a
159c7356020c73
hex4d59283a8d8a

85045322354058 has 128 divisors (see below), whose sum is σ = 226457276774400. Its totient is φ = 23353406524800.

The previous prime is 85045322354051. The next prime is 85045322354071.

85045322354058 is a `hidden beast` number, since 8 + 5 + 0 + 4 + 5 + 3 + 223 + 5 + 405 + 8 = 666.

85045322354058 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85045322353995 and 85045322354013.

It is not an unprimeable number, because it can be changed into a prime (85045322354051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163555003 + ... + 164074158.

It is an arithmetic number, because the mean of its divisors is an integer number (1769197474800).

Almost surely, 285045322354058 is an apocalyptic number.

85045322354058 is an abundant number, since it is smaller than the sum of its proper divisors (141411954420342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85045322354058 is a wasteful number, since it uses less digits than its factorization.

85045322354058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327629225 (or 327629219 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 85045322354058 in words is "eighty-five trillion, forty-five billion, three hundred twenty-two million, three hundred fifty-four thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 99 114 138 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 1026 1242 1254 1311 1518 1881 2277 2622 3762 3933 4554 4807 5643 6831 7866 9614 11286 11799 13662 14421 23598 28842 43263 86526 129789 259578 327629161 655258322 982887483 1965774966 2948662449 3603920771 5897324898 6224954059 7207841542 7535470703 8845987347 10811762313 12449908118 15070941406 17691974694 18674862177 21623524626 22606412109 32435286939 37349724354 45212824218 56024586531 64870573878 67819236327 68474494649 82890177733 97305860817 112049173062 135638472654 136948989298 143173943357 165780355466 168073759593 194611721634 203457708981 205423483947 248670533199 286347886714 336147519186 406915417962 410846967894 429521830071 497341066398 616270451841 746011599597 859043660142 1232540903682 1288565490213 1492023199194 1574913376927 1848811355523 2238034798791 2577130980426 3149826753854 3697622711046 3865696470639 4476069597582 4724740130781 7731392941278 9449480261562 14174220392343 28348440784686 42522661177029 85045322354058