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12543531616 = 2571137137587
BaseRepresentation
bin10111010111010011…
…10001101001100000
31012101011212102120001
423223221301221200
5201142121002431
65432403225344
7622561155010
oct135351615140
935334772501
1012543531616
115357550a60
122520978254
13124b94ba75
1486dca5c40
154d6336e61
hex2eba71a60

12543531616 has 96 divisors (see below), whose sum is σ = 31621024512. Its totient is φ = 4754972160.

The previous prime is 12543531557. The next prime is 12543531647. The reversal of 12543531616 is 61613534521.

12543531616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22375 + ... + 159961.

It is an arithmetic number, because the mean of its divisors is an integer number (329385672).

Almost surely, 212543531616 is an apocalyptic number.

12543531616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12543531616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810512256).

12543531616 is an abundant number, since it is smaller than the sum of its proper divisors (19077492896).

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

12543531616 is a wasteful number, since it uses less digits than its factorization.

12543531616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137652 (or 137644 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The spelling of 12543531616 in words is "twelve billion, five hundred forty-three million, five hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 45584 91168 137587 275174 550348 963109 1100696 1513457 1926218 2201392 3026914 3852436 4402784 5090719 6053828 7704872 10181438 10594199 12107656 15409744 20362876 21188398 24215312 30819488 35635033 40725752 42376796 48430624 55997909 71270066 81451504 84753592 111995818 142540132 162903008 169507184 223991636 285080264 339014368 391985363 447983272 570160528 783970726 895966544 1140321056 1567941452 1791933088 3135882904 6271765808 12543531616