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13532513536 = 281714512143
BaseRepresentation
bin11001001101001100…
…11100010100000000
31021221002210220201001
430212212130110000
5210203310413121
610114452421344
7656230316143
oct144646342400
937832726631
1013532513536
115814829793
122758017854
1313787cbb79
1492538605a
1554308d991
hex32699c500

13532513536 has 72 divisors (see below), whose sum is σ = 28634183424. Its totient is φ = 6360883200.

The previous prime is 13532513503. The next prime is 13532513551. The reversal of 13532513536 is 63531523531.

It is a junction number, because it is equal to n+sod(n) for n = 13532513495 and 13532513504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6313681 + ... + 6315823.

It is an arithmetic number, because the mean of its divisors is an integer number (397696992).

Almost surely, 213532513536 is an apocalyptic number.

13532513536 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 13532513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317091712).

13532513536 is an abundant number, since it is smaller than the sum of its proper divisors (15101669888).

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

13532513536 is a wasteful number, since it uses less digits than its factorization.

13532513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3613 counting only the distinct ones).

The product of its digits is 121500, while the sum is 37.

The spelling of 13532513536 in words is "thirteen billion, five hundred thirty-two million, five hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 1451 2143 2176 2902 4286 4352 5804 8572 11608 17144 23216 24667 34288 36431 46432 49334 68576 72862 92864 98668 137152 145724 185728 197336 274304 291448 371456 394672 548608 582896 789344 1165792 1578688 2331584 3109493 3157376 4663168 6218986 6314752 9326336 12437972 24875944 49751888 52861381 99503776 105722762 199007552 211445524 398015104 422891048 796030208 845782096 1691564192 3383128384 6766256768 13532513536