Search a number
-
+
2118916922500 = 22547241592
BaseRepresentation
bin11110110101011001010…
…010100101110010000100
321111120021222000102110001
4132311121102211302010
5234204020213010000
64301230023211044
7306041510445100
oct36653122456204
97446258012401
102118916922500
1174769a3a9834
122a27b0ba6a84
13124a75244481
14747b0020900
153a1b7d4146a
hex1ed594a5c84

2118916922500 has 135 divisors (see below), whose sum is σ = 5391457742979. Its totient is φ = 726311124000.

The previous prime is 2118916922489. The next prime is 2118916922527. The reversal of 2118916922500 is 52296198112.

It is a happy number.

The square root of 2118916922500 is 1455650.

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

It can be written as a sum of positive squares in 2 ways, for example, as 166123086724 + 1952793835776 = 407582^2 + 1397424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 509475421 + ... + 509479579.

Almost surely, 22118916922500 is an apocalyptic number.

2118916922500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2118916922500 is the 1455650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118916922500

2118916922500 is an abundant number, since it is smaller than the sum of its proper divisors (3272540820479).

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

2118916922500 is an frugal number, since it uses more digits than its factorization.

2118916922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 2118916922500 in words is "two trillion, one hundred eighteen billion, nine hundred sixteen million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 490 500 625 700 875 980 1225 1250 1750 2450 2500 3500 4159 4375 4900 6125 8318 8750 12250 16636 17500 20795 24500 29113 30625 41590 58226 61250 83180 103975 116452 122500 145565 203791 207950 291130 407582 415900 519875 582260 727825 815164 1018955 1039750 1455650 2037910 2079500 2599375 2911300 3639125 4075820 5094775 5198750 7278250 10189550 10397500 14556500 17297281 18195625 20379100 25473875 34594562 36391250 50947750 69189124 72782500 86486405 101895500 121080967 127369375 172972810 242161934 254738750 345945620 432432025 484323868 509477500 605404835 847566769 864864050 1210809670 1695133538 1729728100 2162160125 2421619340 3027024175 3390267076 4237833845 4324320250 6054048350 8475667690 8648640500 10810800625 12108096700 15135120875 16951335380 21189169225 21621601250 30270241750 42378338450 43243202500 60540483500 75675604375 84756676900 105945846125 151351208750 211891692250 302702417500 423783384500 529729230625 1059458461250 2118916922500