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118014510438 = 2331110319110099
BaseRepresentation
bin110110111101000110…
…1101000010101100110
3102021121122010021212000
41231322031220111212
53413143203313223
6130114244310130
711345336534046
oct1557215502546
9367548107760
10118014510438
1146060129460
121aa569a2346
13b189a50886
1459d7787726
15310aa0c543
hex1b7a368566

118014510438 has 128 divisors (see below), whose sum is σ = 290414592000. Its totient is φ = 35225863200.

The previous prime is 118014510349. The next prime is 118014510443. The reversal of 118014510438 is 834015410811.

118014510438 is a `hidden beast` number, since 1 + 1 + 80 + 145 + 1 + 0 + 438 = 666.

118014510438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11680713 + ... + 11690811.

It is an arithmetic number, because the mean of its divisors is an integer number (2268864000).

Almost surely, 2118014510438 is an apocalyptic number.

118014510438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 118014510438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145207296000).

118014510438 is an abundant number, since it is smaller than the sum of its proper divisors (172400081562).

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

118014510438 is a wasteful number, since it uses less digits than its factorization.

118014510438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10415 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 118014510438 in words is "one hundred eighteen billion, fourteen million, five hundred ten thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 191 198 206 297 309 382 573 594 618 927 1133 1146 1719 1854 2101 2266 2781 3399 3438 4202 5157 5562 6303 6798 10099 10197 10314 12606 18909 19673 20198 20394 30297 30591 37818 39346 56727 59019 60594 61182 90891 111089 113454 118038 177057 181782 216403 222178 272673 333267 354114 432806 531171 545346 649209 666534 999801 1040197 1062342 1298418 1928909 1947627 1999602 2080394 2999403 3120591 3857818 3895254 5786727 5842881 5998806 6241182 9361773 11442167 11573454 11685762 17360181 18723546 21217999 22884334 28085319 34326501 34720362 42435998 52080543 56170638 63653997 68653002 102979503 104161086 127307994 190961991 198677627 205959006 308938509 381923982 397355254 572885973 596032881 617877018 1145771946 1192065762 1788098643 2185453897 3576197286 4370907794 5364295929 6556361691 10728591858 13112723382 19669085073 39338170146 59007255219 118014510438