Search a number
-
+
12613325033430 = 23251115118431987
BaseRepresentation
bin1011011110001100010011…
…0000100000111111010110
31122122211012022022222210100
42313203010300200333112
53123124042202032210
642454252002034530
72441165644536342
oct267430460407726
948584168288710
1012613325033430
114023310175220
1214b8669048a46
1370657bb73054
143186b983a622
1516d17c9e65c0
hexb78c4c20fd6

12613325033430 has 96 divisors (see below), whose sum is σ = 35799657723648. Its totient is φ = 3055751726400.

The previous prime is 12613325033417. The next prime is 12613325033443. The reversal of 12613325033430 is 3433052331621.

12613325033430 is a `hidden beast` number, since 1 + 2 + 61 + 3 + 3 + 250 + 3 + 343 + 0 = 666.

12613325033430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12613325033417) and next prime (12613325033443).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720104 + ... + 5711883.

It is an arithmetic number, because the mean of its divisors is an integer number (372913101288).

Almost surely, 212613325033430 is an apocalyptic number.

12613325033430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12613325033430 is an abundant number, since it is smaller than the sum of its proper divisors (23186332690218).

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

12613325033430 is a wasteful number, since it uses less digits than its factorization.

12613325033430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8433522 (or 8433519 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 12613325033430 in words is "twelve trillion, six hundred thirteen billion, three hundred twenty-five million, thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1511 3022 4533 7555 9066 13599 15110 16621 22665 27198 33242 45330 49863 67995 83105 99726 135990 149589 166210 249315 299178 498630 747945 1495890 8431987 16863974 25295961 42159935 50591922 75887883 84319870 92751857 126479805 151775766 185503714 252959610 278255571 379439415 463759285 556511142 758878830 834766713 927518570 1391277855 1669533426 2782555710 4173833565 8347667130 12740732357 25481464714 38222197071 63703661785 76444394142 114666591213 127407323570 140148055927 191110985355 229333182426 280296111854 382221970710 420444167781 573332956065 700740279635 840888335562 1146665912130 1261332503343 1401480559270 2102220838905 2522665006686 4204441677810 6306662516715 12613325033430