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118754416502500 = 2254192114712
BaseRepresentation
bin11011000000000110101010…
…110011111010011011100100
3120120110210220110200022210211
4123000012222303322123210
5111031133021111040000
61100323005323425204
734004503101145012
oct3300065263723344
9516423813608724
10118754416502500
1134925513215839
121139b499985204
13513565509274c
142147a5c9c78b2
15dae11cbbd7ba
hex6c01aacfa6e4

118754416502500 has 135 divisors (see below), whose sum is σ = 274103430521151. Its totient is φ = 44997750540000.

The previous prime is 118754416502429. The next prime is 118754416502563. The reversal of 118754416502500 is 5205614457811.

It is a happy number.

The square root of 118754416502500 is 10897450.

It is a perfect power (a square), and thus also a powerful number.

118754416502500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9310346253796 + 109444070248704 = 3051286^2 + 10461552^2 .

It is a super-4 number, since 4×1187544165025004 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10352571765 + ... + 10352583235.

Almost surely, 2118754416502500 is an apocalyptic number.

118754416502500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118754416502500 is the 10897450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118754416502500

118754416502500 is an abundant number, since it is smaller than the sum of its proper divisors (155349014018651).

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

118754416502500 is an frugal number, since it uses more digits than its factorization.

118754416502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23004 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 49.

The spelling of 118754416502500 in words is "one hundred eighteen trillion, seven hundred fifty-four billion, four hundred sixteen million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 625 722 950 1250 1444 1805 1900 2375 2500 3610 4750 7220 9025 9500 11471 11875 18050 22942 23750 36100 45125 45884 47500 57355 90250 114710 180500 217949 225625 229420 286775 435898 451250 573550 871796 902500 1089745 1147100 1433875 2179490 2867750 4141031 4358980 5448725 5735500 7169375 8282062 10897450 14338750 16564124 20705155 21794900 27243625 28677500 41410310 54487250 82820620 103525775 108974500 131583841 136218125 207051550 263167682 272436250 414103100 517628875 526335364 544872500 657919205 1035257750 1315838410 2070515500 2500092979 2588144375 2631676820 3289596025 5000185958 5176288750 6579192050 10000371916 10352577500 12500464895 13158384100 16447980125 25000929790 32895960250 47501766601 50001859580 62502324475 65791920500 82239900625 95003533202 125004648950 164479801250 190007066404 237508833005 250009297900 312511622375 328959602500 475017666010 625023244750 950035332020 1187544165025 1250046489500 1562558111875 2375088330050 3125116223750 4750176660100 5937720825125 6250232447500 11875441650250 23750883300500 29688604125625 59377208251250 118754416502500