Search a number
-
+
18454387283008 = 267127134994283
BaseRepresentation
bin1000011001000101111110…
…01100101101010001000000
32102100012222222110021011121
410030202333030231101000
54404324041121024013
6103125454541322024
73613166630502055
oct414427714552100
972305888407147
1018454387283008
115975509575326
1220a0700b66314
13a3b31a05a281
1447b2a8c2902c
152200933bc58d
hex10c8bf32d440

18454387283008 has 112 divisors (see below), whose sum is σ = 37292596992000. Its totient is φ = 9058958092800.

The previous prime is 18454387282999. The next prime is 18454387283021. The reversal of 18454387283008 is 80038278345481.

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 15 ways as a sum of consecutive naturals, for example, 4308750435 + ... + 4308754717.

It is an arithmetic number, because the mean of its divisors is an integer number (332969616000).

Almost surely, 218454387283008 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 18454387283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646298496000).

18454387283008 is an abundant number, since it is smaller than the sum of its proper divisors (18838209708992).

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

18454387283008 is a wasteful number, since it uses less digits than its factorization.

18454387283008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 61.

The spelling of 18454387283008 in words is "eighteen trillion, four hundred fifty-four billion, three hundred eighty-seven million, two hundred eighty-three thousand, eight".

Divisors: 1 2 4 8 16 32 64 71 142 271 284 542 568 1084 1136 2168 2272 3499 4283 4336 4544 6998 8566 8672 13996 17132 17344 19241 27992 34264 38482 55984 68528 76964 111968 137056 153928 223936 248429 274112 304093 307856 496858 608186 615712 948229 993716 1160693 1216372 1231424 1896458 1987432 2321386 2432744 3792916 3974864 4642772 4865488 7585832 7949728 9285544 9730976 14986217 15171664 15899456 18571088 19461952 29972434 30343328 37142176 59944868 60686656 67324259 74284352 82409203 119889736 134648518 164818406 239779472 269297036 329636812 479558944 538594072 659273624 959117888 1064021407 1077188144 1318547248 2128042814 2154376288 2637094496 4061264807 4256085628 4308752576 5274188992 8122529614 8512171256 16245059228 17024342512 32490118456 34048685024 64980236912 68097370048 129960473824 259920947648 288349801297 576699602594 1153399205188 2306798410376 4613596820752 9227193641504 18454387283008