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214784424487412 = 221389974491065593
BaseRepresentation
bin110000110101100001100101…
…010100110010100111110100
31001011111012010211121201202222
4300311201211110302213310
5211123012000132044122
62040450334043421512
763145443160060463
oct6065414524624764
91034435124551688
10214784424487412
116248962122857a
122010a7b1224898
1392b011333c650
143b0789b9c29da
1519c7080b87b42
hexc358655329f4

214784424487412 has 96 divisors (see below), whose sum is σ = 414475573428000. Its totient is φ = 96790807314432.

The previous prime is 214784424487361. The next prime is 214784424487471.

214784424487412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 158708948904676 + 56075475582736 = 12597974^2 + 7488356^2 .

It is a super-2 number, since 2×2147844244874122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 201030488 + ... + 202096080.

It is an arithmetic number, because the mean of its divisors is an integer number (4317453889875).

Almost surely, 2214784424487412 is an apocalyptic number.

It is an amenable number.

214784424487412 is a deficient number, since it is larger than the sum of its proper divisors (199691148940588).

214784424487412 is a wasteful number, since it uses less digits than its factorization.

214784424487412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066245 (or 1066243 counting only the distinct ones).

The product of its digits is 102760448, while the sum is 62.

The spelling of 214784424487412 in words is "two hundred fourteen trillion, seven hundred eighty-four billion, four hundred twenty-four million, four hundred eighty-seven thousand, four hundred twelve".

Divisors: 1 2 4 13 26 52 89 97 178 194 356 388 449 898 1157 1261 1796 2314 2522 4628 5044 5837 8633 11674 17266 23348 34532 39961 43553 79922 87106 112229 159844 174212 224458 448916 519493 566189 1038986 1065593 1132378 2077972 2131186 2264756 3876217 4262372 7752434 13852709 15504868 27705418 50390821 55410836 94837777 100781642 103362521 189675554 201563284 206725042 379351108 413450084 478451257 956902514 1232891101 1343712773 1913805028 2465782202 2687425546 4931564404 5374851092 6219866341 9199264369 12439732682 18398528738 24879465364 36797057476 42582161873 46409771929 85164323746 92819543858 119590436797 170328647492 185639087716 239180873594 478361747188 553568104349 603327035077 1107136208698 1206654070154 2214272417396 2413308140308 4130469701681 8260939403362 16521878806724 53696106121853 107392212243706 214784424487412