Search a number
-
+
1683843980112 = 243373671517239
BaseRepresentation
bin11000100000001100111…
…011000001101101010000
312221222021222111222101000
4120200030323001231100
5210042003024330422
63325314112142000
7232440136450530
oct30401473015520
95858258458330
101683843980112
1159a129035738
1223240bb37900
13c2a2a5535a8
145b6d9ba54c0
152dc022a9cac
hex1880cec1b50

1683843980112 has 160 divisors (see below), whose sum is σ = 5538775654400. Its totient is φ = 479787069312.

The previous prime is 1683843980111. The next prime is 1683843980123. The reversal of 1683843980112 is 2110893483861.

1683843980112 is a `hidden beast` number, since 1 + 68 + 3 + 84 + 398 + 0 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683843980111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351189 + ... + 1868427.

It is an arithmetic number, because the mean of its divisors is an integer number (34617347840).

Almost surely, 21683843980112 is an apocalyptic number.

1683843980112 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 1683843980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769387827200).

1683843980112 is an abundant number, since it is smaller than the sum of its proper divisors (3854931674288).

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

1683843980112 is a wasteful number, since it uses less digits than its factorization.

1683843980112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517630 (or 1517618 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1683843980112 in words is "one trillion, six hundred eighty-three billion, eight hundred forty-three million, nine hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 367 378 432 504 734 756 1008 1101 1468 1512 2202 2569 2936 3024 3303 4404 5138 5872 6606 7707 8808 9909 10276 13212 15414 17616 19818 20552 23121 26424 30828 39636 41104 46242 52848 61656 69363 79272 92484 123312 138726 158544 184968 277452 369936 554904 1109808 1517239 3034478 4551717 6068956 9103434 10620673 12137912 13655151 18206868 21241346 24275824 27310302 31862019 36413736 40965453 42482692 54620604 63724038 72827472 81930906 84965384 95586057 109241208 127448076 163861812 169930768 191172114 218482416 254896152 286758171 327723624 382344228 509792304 556826713 573516342 655447248 764688456 1113653426 1147032684 1529376912 1670480139 2227306852 2294065368 3340960278 3897786991 4454613704 4588130736 5011440417 6681920556 7795573982 8909227408 10022880834 11693360973 13363841112 15034321251 15591147964 20045761668 23386721946 26727682224 30068642502 31182295928 35080082919 40091523336 46773443892 60137285004 62364591856 70160165838 80183046672 93546887784 105240248757 120274570008 140320331676 187093775568 210480497514 240549140016 280640663352 420960995028 561281326704 841921990056 1683843980112