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13540104324 = 22322385919037
BaseRepresentation
bin11001001110000110…
…11001100010000100
31021221122002120022100
430213003121202010
5210212231314244
610115323232100
7656351662545
oct144703314204
937848076270
1013540104324
11581904386a
12275a678630
13137a258c66
149263a04cc
15543a8cb69
hex3270d9884

13540104324 has 72 divisors (see below), whose sum is σ = 35757933120. Its totient is φ = 4311882432.

The previous prime is 13540104307. The next prime is 13540104401. The reversal of 13540104324 is 42340104531.

It is a happy number.

13540104324 is a `hidden beast` number, since 13 + 540 + 104 + 3 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701734 + ... + 720770.

It is an arithmetic number, because the mean of its divisors is an integer number (496637960).

Almost surely, 213540104324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540104324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17878966560).

13540104324 is an abundant number, since it is smaller than the sum of its proper divisors (22217828796).

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

13540104324 is a wasteful number, since it uses less digits than its factorization.

13540104324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19929 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13540104324 its reverse (42340104531), we get a palindrome (55880208855).

The spelling of 13540104324 in words is "thirteen billion, five hundred forty million, one hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 859 1718 2577 3436 5154 7731 10308 15462 19037 19757 30924 38074 39514 57111 59271 76148 79028 114222 118542 171333 177813 228444 237084 342666 355626 437851 685332 711252 875702 1313553 1751404 2627106 3940659 5254212 7881318 15762636 16352783 32705566 49058349 65411132 98116698 147175047 196233396 294350094 376114009 588700188 752228018 1128342027 1504456036 2256684054 3385026081 4513368108 6770052162 13540104324