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1685085172812 = 223510126963809
BaseRepresentation
bin11000100001010110111…
…001110011010001001100
312222002111111001002200000
4120201112321303101030
5210102023301012222
63330041211204300
7232512660432246
oct30412671632114
95862444032600
101685085172812
1159a705717128
122326b7746690
13c2b9773b442
145b7b6979096
152dc762309ac
hex18856e7344c

1685085172812 has 144 divisors (see below), whose sum is σ = 4477670215200. Its totient is φ = 554057625600.

The previous prime is 1685085172807. The next prime is 1685085172829. The reversal of 1685085172812 is 2182715805861.

It is a happy number.

1685085172812 is a `hidden beast` number, since 1 + 6 + 8 + 508 + 51 + 7 + 2 + 81 + 2 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26376364 + ... + 26440172.

It is an arithmetic number, because the mean of its divisors is an integer number (31094932050).

Almost surely, 21685085172812 is an apocalyptic number.

1685085172812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685085172812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238835107600).

1685085172812 is an abundant number, since it is smaller than the sum of its proper divisors (2792585042388).

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

1685085172812 is a wasteful number, since it uses less digits than its factorization.

1685085172812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64198 (or 64184 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 1685085172812 in words is "one trillion, six hundred eighty-five billion, eighty-five million, one hundred seventy-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 269 303 324 404 486 538 606 807 909 972 1076 1212 1614 1818 2421 2727 3228 3636 4842 5454 7263 8181 9684 10908 14526 16362 21789 24543 27169 29052 32724 43578 49086 54338 63809 65367 81507 87156 98172 108676 127618 130734 163014 191427 244521 255236 261468 326028 382854 489042 574281 733563 765708 978084 1148562 1467126 1722843 2200689 2297124 2934252 3445686 4401378 5168529 6444709 6602067 6891372 8802756 10337058 12889418 13204134 15505587 17164621 19334127 20674116 25778836 26408268 31011174 34329242 38668254 51493863 58002381 62022348 68658484 77336508 102987726 116004762 154481589 174007143 205975452 232009524 308963178 348014286 463444767 522021429 617926356 696028572 926889534 1044042858 1390334301 1566064287 1733626721 1853779068 2088085716 2780668602 3132128574 3467253442 4171002903 5200880163 5561337204 6264257148 6934506884 8342005806 10401760326 15602640489 16684011612 20803520652 31205280978 46807921467 62410561956 93615842934 140423764401 187231685868 280847528802 421271293203 561695057604 842542586406 1685085172812