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13545011424 = 2537101199567
BaseRepresentation
bin11001001110101100…
…00111100011100000
31021221222022212120210
430213112013203200
5210220010331144
610120020334120
7656441461140
oct144726074340
937858285523
1013545011424
11582089561a
122760244340
13137b286679
14926cba920
1554420bab9
hex3275878e0

13545011424 has 96 divisors (see below), whose sum is σ = 41037566976. Its totient is φ = 3831667200.

The previous prime is 13545011423. The next prime is 13545011449. The reversal of 13545011424 is 42411054531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13545011391 and 13545011400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13545011423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31912 + ... + 167655.

It is an arithmetic number, because the mean of its divisors is an integer number (427474656).

Almost surely, 213545011424 is an apocalyptic number.

13545011424 is a gapful number since it is divisible by the number (14) 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 13545011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518783488).

13545011424 is an abundant number, since it is smaller than the sum of its proper divisors (27492555552).

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

13545011424 is a wasteful number, since it uses less digits than its factorization.

13545011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199688 (or 199680 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13545011424 its reverse (42411054531), we get a palindrome (55956065955).

The spelling of 13545011424 in words is "thirteen billion, five hundred forty-five million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 199567 399134 598701 798268 1197402 1396969 1596536 2394804 2793938 3193072 4190907 4789608 5587876 6386144 8381814 9579216 11175752 16763628 19158432 20156267 22351504 33527256 40312534 44703008 60468801 67054512 80625068 120937602 134109024 141093869 161250136 241875204 282187738 322500272 423281607 483750408 564375476 645000544 846563214 967500816 1128750952 1693126428 1935001632 2257501904 3386252856 4515003808 6772505712 13545011424