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12506535882 = 23229163146987
BaseRepresentation
bin10111010010111001…
…01001011111001010
31012021121020211221200
423221130221133022
5201103133122012
65425002245030
7621631541511
oct135134513712
935247224850
1012506535882
115338682575
1225104b6776
1312440977b9
14868dd5678
154d2e7a3dc
hex2e97297ca

12506535882 has 48 divisors (see below), whose sum is σ = 28204057440. Its totient is φ = 4000370976.

The previous prime is 12506535817. The next prime is 12506535887. The reversal of 12506535882 is 28853560521.

12506535882 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 65 + 3 + 588 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12506535887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11593 + ... + 158579.

It is an arithmetic number, because the mean of its divisors is an integer number (587584530).

Almost surely, 212506535882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12506535882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102028720).

12506535882 is an abundant number, since it is smaller than the sum of its proper divisors (15697521558).

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

12506535882 is a wasteful number, since it uses less digits than its factorization.

12506535882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147187 (or 147184 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12506535882 in words is "twelve billion, five hundred six million, five hundred thirty-five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 58 87 163 174 261 326 489 522 978 1467 2934 4727 9454 14181 28362 42543 85086 146987 293974 440961 881922 1322883 2645766 4262623 8525246 12787869 23958881 25575738 38363607 47917762 71876643 76727214 143753286 215629929 431259858 694807549 1389615098 2084422647 4168845294 6253267941 12506535882