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48238236585 = 3457112117331
BaseRepresentation
bin101100111011001110…
…010001001110101001
311121111210202022120000
4230323032101032221
51242242442032320
634054344453213
73325250150160
oct547316211651
9147453668500
1048238236585
1119504255130
129422a7a209
134719a79976
14249876c3d7
1513c4d90c90
hexb3b3913a9

48238236585 has 160 divisors (see below), whose sum is σ = 108334347264. Its totient is φ = 19949328000.

The previous prime is 48238236569. The next prime is 48238236589. The reversal of 48238236585 is 58563283284.

It is a happy number.

48238236585 is a `hidden beast` number, since 4 + 8 + 2 + 38 + 23 + 6 + 585 = 666.

It is not a de Polignac number, because 48238236585 - 24 = 48238236569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48238236589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6576370 + ... + 6583700.

Almost surely, 248238236585 is an apocalyptic number.

48238236585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48238236585 is an abundant number, since it is smaller than the sum of its proper divisors (60096110679).

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

48238236585 is a wasteful number, since it uses less digits than its factorization.

48238236585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7568 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 48238236585 in words is "forty-eight billion, two hundred thirty-eight million, two hundred thirty-six thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 211 231 297 315 385 405 495 567 633 693 891 945 1055 1155 1477 1485 1899 2079 2321 2835 3165 3465 4431 4455 5697 6237 6963 7331 7385 9495 10395 11605 13293 16247 17091 20889 21993 22155 28485 31185 34815 36655 39879 48741 51317 62667 65979 66465 80641 81235 85455 104445 109965 119637 146223 153951 188001 197937 199395 241923 243705 256585 313335 329895 403205 438669 461853 564487 593811 598185 725769 731115 769755 940005 989685 1209615 1316007 1385559 1546841 1693461 2177307 2193345 2309265 2822435 2969055 3628845 4156677 4640523 5080383 6531921 6580035 6927795 7734205 8467305 10827887 10886535 13921569 15241149 17015251 20783385 23202615 25401915 32483661 32659605 41764707 45723447 51045753 54139435 69607845 76205745 85076255 97450983 119106757 125294121 153137259 162418305 208823535 228617235 255228765 292352949 357320271 459411777 487254915 595533785 626470605 765686295 877058847 1071960813 1378235331 1461764745 1786601355 2297058885 3215882439 4385294235 5359804065 6891176655 9647647317 16079412195 48238236585