Search a number
-
+
1019099982168 = 233347281357239
BaseRepresentation
bin11101101010001110001…
…01111010100101011000
310121102110211102001101000
432311013011322211120
5113144104043412133
62100100145225000
7133425150631152
oct16650705724530
93542424361330
101019099982168
1136321a410224
12145612632160
1375140371938
1437478da9ad2
151b7984a0413
hexed4717a958

1019099982168 has 128 divisors (see below), whose sum is σ = 2901360384000. Its totient is φ = 331288231680.

The previous prime is 1019099982143. The next prime is 1019099982179. The reversal of 1019099982168 is 8612899909101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674093 + ... + 3031331.

It is an arithmetic number, because the mean of its divisors is an integer number (22666878000).

Almost surely, 21019099982168 is an apocalyptic number.

1019099982168 is a gapful number since it is divisible by the number (18) 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 1019099982168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450680192000).

1019099982168 is an abundant number, since it is smaller than the sum of its proper divisors (1882260401832).

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

1019099982168 is a wasteful number, since it uses less digits than its factorization.

1019099982168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357582 (or 357572 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 63.

The spelling of 1019099982168 in words is "one trillion, nineteen billion, ninety-nine million, nine hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 281 282 376 423 562 564 843 846 1124 1128 1269 1686 1692 2248 2529 2538 3372 3384 5058 5076 6744 7587 10116 10152 13207 15174 20232 26414 30348 39621 52828 60696 79242 105656 118863 158484 237726 316968 356589 357239 475452 713178 714478 950904 1071717 1426356 1428956 2143434 2852712 2857912 3215151 4286868 6430302 8573736 9645453 12860604 16790233 19290906 25721208 33580466 38581812 50370699 67160932 77163624 100384159 100741398 134321864 151112097 200768318 201482796 301152477 302224194 401536636 402965592 453336291 602304954 604448388 803073272 903457431 906672582 1204609908 1208896776 1806914862 1813345164 2409219816 2710372293 3613829724 3626690328 4718055473 5420744586 7227659448 9436110946 10841489172 14154166419 18872221892 21682978344 28308332838 37744443784 42462499257 56616665676 84924998514 113233331352 127387497771 169849997028 254774995542 339699994056 509549991084 1019099982168