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118456500168 = 2334238989303
BaseRepresentation
bin110111001010010001…
…1101011111111001000
3102022202102210200210000
41232110203223333020
53420044331001133
6130230153523000
711362314431616
oct1562443537710
9368672720700
10118456500168
1146267673926
121ab5aa13460
13b22a4a4566
145a3a35c6b6
153134717413
hex1b948ebfc8

118456500168 has 160 divisors (see below), whose sum is σ = 350107401600. Its totient is φ = 37343953152.

The previous prime is 118456500163. The next prime is 118456500193. The reversal of 118456500168 is 861005654811.

118456500168 is a `hidden beast` number, since 1 + 1 + 84 + 5 + 6 + 500 + 1 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (118456500161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1281805 + ... + 1371107.

It is an arithmetic number, because the mean of its divisors is an integer number (2188171260).

Almost surely, 2118456500168 is an apocalyptic number.

118456500168 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 118456500168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175053700800).

118456500168 is an abundant number, since it is smaller than the sum of its proper divisors (231650901432).

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

118456500168 is a wasteful number, since it uses less digits than its factorization.

118456500168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89433 (or 89420 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 118456500168 in words is "one hundred eighteen billion, four hundred fifty-six million, five hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 89 92 108 138 162 178 184 207 216 267 276 324 356 414 534 552 621 648 712 801 828 1068 1242 1602 1656 1863 2047 2136 2403 2484 3204 3726 4094 4806 4968 6141 6408 7209 7452 8188 9612 12282 14418 14904 16376 18423 19224 24564 28836 36846 49128 55269 57672 73692 89303 110538 147384 165807 178606 221076 267909 331614 357212 442152 535818 663228 714424 803727 1071636 1326456 1607454 2053969 2143272 2411181 3214908 4107938 4822362 6161907 6429816 7233543 7947967 8215876 9644724 12323814 14467086 15895934 16431752 18485721 19289448 23843901 24647628 28934172 31791868 36971442 47687802 49295256 55457163 57868344 63583736 71531703 73942884 95375604 110914326 143063406 147885768 166371489 182803241 190751208 214595109 221828652 286126812 332742978 365606482 429190218 443657304 548409723 572253624 643785327 665485956 731212964 858380436 1096819446 1287570654 1330971912 1462425928 1645229169 1716760872 2193638892 2575141308 3290458338 4387277784 4935687507 5150282616 6580916676 9871375014 13161833352 14807062521 19742750028 29614125042 39485500056 59228250084 118456500168