Search a number
-
+
12465444205830 = 23571112553429881
BaseRepresentation
bin1011010101100101011001…
…0111111011010100000110
31122010200111020110120221110
42311121112113323110012
53113213212204041310
642302313534425450
72424412220333310
oct265312627732406
948120436416843
1012465444205830
113a7662430a720
121493a78062286
136c5642665275
1431148b6c67b0
151693c4eb9d20
hexb56565fb506

12465444205830 has 128 divisors (see below), whose sum is σ = 37302257396736. Its totient is φ = 2590009804800.

The previous prime is 12465444205817. The next prime is 12465444205849. The reversal of 12465444205830 is 3850244456421.

It is a self number, because there is not a number n which added to its sum of digits gives 12465444205830.

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, 28782490 + ... + 29212370.

It is an arithmetic number, because the mean of its divisors is an integer number (291423885912).

Almost surely, 212465444205830 is an apocalyptic number.

12465444205830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12465444205830 is an abundant number, since it is smaller than the sum of its proper divisors (24836813190906).

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

12465444205830 is a wasteful number, since it uses less digits than its factorization.

12465444205830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442462.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 12465444205830 in words is "twelve trillion, four hundred sixty-five billion, four hundred forty-four million, two hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 12553 25106 37659 62765 75318 87871 125530 138083 175742 188295 263613 276166 376590 414249 429881 439355 527226 690415 828498 859762 878710 966581 1289643 1318065 1380830 1933162 2071245 2149405 2579286 2636130 2899743 3009167 4142490 4298810 4728691 4832905 5799486 6018334 6448215 9027501 9457382 9665810 12896430 14186073 14498715 15045835 18055002 23643455 28372146 28997430 30091670 33100837 45137505 47286910 66201674 70930365 90275010 99302511 141860730 165504185 198605022 331008370 496512555 993025110 5396296193 10792592386 16188888579 26981480965 32377777158 37774073351 53962961930 59359258123 75548146702 80944442895 113322220053 118718516246 161888885790 178077774369 188870366755 226644440106 296796290615 356155548738 377740733510 415514806861 566611100265 593592581230 831029613722 890388871845 1133222200530 1246544420583 1780777743690 2077574034305 2493088841166 4155148068610 6232722102915 12465444205830