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12882523014 = 235731492437
BaseRepresentation
bin10111111111101101…
…11011001110000110
31020020210201222100000
423333312323032012
5202340411214024
65530153102130
7634145432064
oct137766731606
936223658300
1012882523014
115510937239
1225b63b7946
1312a3c4c2aa
148a2d09034
15505e98cc9
hex2ffdbb386

12882523014 has 96 divisors (see below), whose sum is σ = 29551485600. Its totient is φ = 4205198592.

The previous prime is 12882522997. The next prime is 12882523019. The reversal of 12882523014 is 41032528821.

It is a happy number.

12882523014 is a `hidden beast` number, since 128 + 8 + 2 + 523 + 0 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12882523014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882523019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5285004 + ... + 5287440.

It is an arithmetic number, because the mean of its divisors is an integer number (307827975).

Almost surely, 212882523014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882523014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775742800).

12882523014 is an abundant number, since it is smaller than the sum of its proper divisors (16668962586).

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

12882523014 is a wasteful number, since it uses less digits than its factorization.

12882523014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12882523014 in words is "twelve billion, eight hundred eighty-two million, five hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 149 162 219 243 298 438 447 486 657 894 1314 1341 1971 2437 2682 3942 4023 4874 5913 7311 8046 10877 11826 12069 14622 17739 21754 21933 24138 32631 35478 36207 43866 65262 65799 72414 97893 131598 177901 195786 197397 293679 355802 363113 394794 533703 587358 592191 726226 881037 1067406 1089339 1184382 1601109 1762074 2178678 2643111 3202218 3268017 4803327 5286222 6536034 9606654 9804051 14409981 19608102 26507249 28819962 29412153 43229943 53014498 58824306 79521747 86459886 88236459 159043494 176472918 238565241 477130482 715695723 1431391446 2147087169 4294174338 6441261507 12882523014