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11385487008 = 2538761127
BaseRepresentation
bin10101001101010000…
…01011111010100000
31002101110210200000000
422212220023322200
5141304141041013
65121434300000
7552100020450
oct124650137240
932343720000
1011385487008
1149128a09a5
122258b87600
1310c5a5717c
147a0177d60
15469837973
hex2a6a0bea0

11385487008 has 432 divisors, whose sum is σ = 39361480704. Its totient is φ = 3174474240.

The previous prime is 11385486967. The next prime is 11385487037. The reversal of 11385487008 is 80078458311.

It is a happy number.

11385487008 is a `hidden beast` number, since 1 + 1 + 38 + 548 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 89649441 + ... + 89649567.

Almost surely, 211385487008 is an apocalyptic number.

11385487008 is a gapful number since it is divisible by the number (18) 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 11385487008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19680740352).

11385487008 is an abundant number, since it is smaller than the sum of its proper divisors (27975993696).

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

11385487008 is an frugal number, since it uses more digits than its factorization.

11385487008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11385487008 in words is "eleven billion, three hundred eighty-five million, four hundred eighty-seven thousand, eight".