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12535642312530 = 2357124165337397
BaseRepresentation
bin1011011001101010111010…
…0000011100111101010010
31122101101200110120220010020
42312122232200130331102
53120340443413000110
642354443343444310
72432445621363441
oct266325640347522
948341613526106
1012535642312530
113aa3377311237
1214a55a92b6696
136cc14bb531cc
14314a2a74ad58
1516b132badd70
hexb66ae81cf52

12535642312530 has 128 divisors (see below), whose sum is σ = 30683612146176. Its totient is φ = 3276966604800.

The previous prime is 12535642312519. The next prime is 12535642312547. The reversal of 12535642312530 is 3521324653521.

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 63 ways as a sum of consecutive naturals, for example, 335185792 + ... + 335223188.

It is an arithmetic number, because the mean of its divisors is an integer number (239715719892).

Almost surely, 212535642312530 is an apocalyptic number.

12535642312530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12535642312530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341806073088).

12535642312530 is an abundant number, since it is smaller than the sum of its proper divisors (18147969833646).

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

12535642312530 is a wasteful number, since it uses less digits than its factorization.

12535642312530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38372.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 12535642312530 in words is "twelve trillion, five hundred thirty-five billion, six hundred forty-two million, three hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 241 355 426 482 653 710 723 1065 1205 1306 1446 1959 2130 2410 3265 3615 3918 6530 7230 9795 17111 19590 34222 37397 46363 51333 74794 85555 92726 102666 112191 139089 157373 171110 186985 224382 231815 256665 278178 314746 373970 463630 472119 513330 560955 695445 786865 944238 1121910 1390890 1573730 2360595 2655187 4721190 5310374 7965561 9012677 11173483 13275935 15931122 18025354 22346966 24420241 26551870 27038031 33520449 39827805 45063385 48840482 54076062 55867415 67040898 73260723 79655610 90126770 111734830 122101205 135190155 146521446 167602245 244202410 270380310 335204490 366303615 639900067 732607230 1279800134 1733837111 1919700201 3199500335 3467674222 3839400402 5201511333 5885278081 6399000670 8669185555 9598501005 10403022666 11770556162 17338371110 17655834243 19197002010 26007556665 29426390405 35311668486 52015113330 58852780810 88279171215 176558342430 417854743751 835709487502 1253564231253 2089273718755 2507128462506 4178547437510 6267821156265 12535642312530