Search a number
-
+
12516433700 = 22524711323567
BaseRepresentation
bin10111010100000100…
…11001111100100100
31012022021212201012112
423222002121330210
5201113201334300
65425554340152
7622111634231
oct135202317444
935267781175
1012516433700
115343222991
12251388a658
1312461519b4
1486a450788
154d3c82e35
hex2ea099f24

12516433700 has 72 divisors (see below), whose sum is σ = 27985208832. Its totient is φ = 4856481280.

The previous prime is 12516433697. The next prime is 12516433751. The reversal of 12516433700 is 733461521.

It is a super-2 number, since 2×125164337002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519317 + ... + 542883.

It is an arithmetic number, because the mean of its divisors is an integer number (388683456).

Almost surely, 212516433700 is an apocalyptic number.

12516433700 is a gapful number since it is divisible by the number (10) 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 12516433700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992604416).

12516433700 is an abundant number, since it is smaller than the sum of its proper divisors (15468775132).

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

12516433700 is a wasteful number, since it uses less digits than its factorization.

12516433700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23741 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 12516433700 in words is "twelve billion, five hundred sixteen million, four hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 113 188 226 235 452 470 565 940 1130 1175 2260 2350 2825 4700 5311 5650 10622 11300 21244 23567 26555 47134 53110 94268 106220 117835 132775 235670 265550 471340 531100 589175 1107649 1178350 2215298 2356700 2663071 4430596 5326142 5538245 10652284 11076490 13315355 22152980 26630710 27691225 53261420 55382450 66576775 110764900 125164337 133153550 250328674 266307100 500657348 625821685 1251643370 2503286740 3129108425 6258216850 12516433700