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112774274044884 = 223273349431285287
BaseRepresentation
bin11001101001000101001110…
…100010110101001111010100
3112210022010010001121110001100
4121221011032202311033110
5104240143203123414014
61035503441500430100
732516446433023224
oct3151051642651724
9483263101543040
10112774274044884
1132a2a334751941
12107944b0248330
134ac0750a4c73a
141dbc4381da084
15d087b7212009
hex66914e8b53d4

112774274044884 has 144 divisors (see below), whose sum is σ = 290474764070400. Its totient is φ = 36884330242560.

The previous prime is 112774274044853. The next prime is 112774274044897. The reversal of 112774274044884 is 488440472477211.

It is a happy number.

112774274044884 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 42 + 74 + 0 + 448 + 84 = 666.

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 47 ways as a sum of consecutive naturals, for example, 395158489 + ... + 395443775.

It is an arithmetic number, because the mean of its divisors is an integer number (2017185861600).

Almost surely, 2112774274044884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112774274044884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145237382035200).

112774274044884 is an abundant number, since it is smaller than the sum of its proper divisors (177700490025516).

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

112774274044884 is a wasteful number, since it uses less digits than its factorization.

112774274044884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286150 (or 286145 counting only the distinct ones).

The product of its (nonzero) digits is 89915392, while the sum is 63.

The spelling of 112774274044884 in words is "one hundred twelve trillion, seven hundred seventy-four billion, two hundred seventy-four million, forty-four thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 349 431 438 657 698 862 876 1047 1293 1314 1396 1724 2094 2586 2628 3141 3879 4188 5172 6282 7758 12564 15516 25477 31463 50954 62926 76431 94389 101908 125852 150419 152862 188778 229293 283167 285287 300838 305724 377556 451257 458586 566334 570574 601676 855861 902514 917172 1132668 1141148 1353771 1711722 1805028 2567583 2707542 3423444 5135166 5415084 10270332 10980587 20825951 21961174 32941761 41651902 43922348 62477853 65883522 83303804 98825283 99565163 122958697 124955706 131767044 187433559 197650566 199130326 245917394 249911412 298695489 368876091 374867118 395301132 398260652 491834788 597390978 737752182 749734236 896086467 1106628273 1194781956 1475504364 1792172934 2213256546 3584345868 4426513092 7268256899 8975984881 14536513798 17951969762 21804770697 26927954643 29073027596 35903939524 42912585253 43609541394 53855909286 65414312091 80783863929 85825170506 87219082788 107711818572 128737755759 130828624182 161567727858 171650341012 257475511518 261657248364 323135455716 386213267277 514951023036 772426534554 1544853069108 3132618723469 6265237446938 9397856170407 12530474893876 18795712340814 28193568511221 37591424681628 56387137022442 112774274044884