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13530153024 = 263228383003
BaseRepresentation
bin11001001100111010…
…11100000001000000
31021220221100222200200
430212131130001000
5210202204344044
610114330045200
7656201255163
oct144635340100
937827328620
1013530153024
115813467253
122757279800
13137818360b
14924d2dada
15542c74369
hex32675c040

13530153024 has 84 divisors (see below), whose sum is σ = 38919247536. Its totient is φ = 4494060288.

The previous prime is 13530152981. The next prime is 13530153031. The reversal of 13530153024 is 42035103531.

13530153024 is a `hidden beast` number, since 1 + 353 + 0 + 1 + 5 + 302 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 121507 + ... + 204509.

Almost surely, 213530153024 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 13530153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459623768).

13530153024 is an abundant number, since it is smaller than the sum of its proper divisors (25389094512).

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

13530153024 is a wasteful number, since it uses less digits than its factorization.

13530153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83304 (or 83291 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13530153024 its reverse (42035103531), we get a palindrome (55565256555).

The spelling of 13530153024 in words is "thirteen billion, five hundred thirty million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 283 288 566 576 849 1132 1698 2264 2547 3396 4528 5094 6792 9056 10188 13584 18112 20376 27168 40752 54336 81504 83003 163008 166006 249009 332012 498018 664024 747027 996036 1328048 1494054 1992072 2656096 2988108 3984144 5312192 5976216 7968288 11952432 15936576 23489849 23904864 46979698 47809728 70469547 93959396 140939094 187918792 211408641 281878188 375837584 422817282 563756376 751675168 845634564 1127512752 1503350336 1691269128 2255025504 3382538256 4510051008 6765076512 13530153024