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13995604224 = 28337231243
BaseRepresentation
bin11010000100011001…
…11111100100000000
31100010101012100201000
431002030333210000
5212130333313344
610232434212000
71003552446600
oct150214774400
940111170630
1013995604224
115a32176668
122867124000
131420730124
1496aa90c00
1556da65a69
hex34233f900

13995604224 has 648 divisors, whose sum is σ = 50904675360. Its totient is φ = 3779758080.

The previous prime is 13995604187. The next prime is 13995604253. The reversal of 13995604224 is 42240659931.

13995604224 is a `hidden beast` number, since 1 + 39 + 9 + 5 + 604 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13995604224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325479147 + ... + 325479189.

Almost surely, 213995604224 is an apocalyptic number.

13995604224 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 13995604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452337680).

13995604224 is an abundant number, since it is smaller than the sum of its proper divisors (36909071136).

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

13995604224 is an equidigital number, since it uses as much as digits as its factorization.

13995604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13995604224 in words is "thirteen billion, nine hundred ninety-five million, six hundred four thousand, two hundred twenty-four".