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11804244480 = 29335731787
BaseRepresentation
bin10101111111001011…
…00111101000000000
31010110122202202021000
422333211213220000
5143133341310410
65231153532000
7565343264640
oct127745475000
933418682230
1011804244480
115008208656
122355274000
131161735462
147dda22520
154914a3dc0
hex2bf967a00

11804244480 has 640 divisors, whose sum is σ = 49528258560. Its totient is φ = 2607759360.

The previous prime is 11804244427. The next prime is 11804244521. The reversal of 11804244480 is 8444240811.

11804244480 is a `hidden beast` number, since 118 + 0 + 424 + 44 + 80 = 666.

11804244480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×118042444802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14998647 + ... + 14999433.

It is an arithmetic number, because the mean of its divisors is an integer number (77387904).

Almost surely, 211804244480 is an apocalyptic number.

11804244480 is a gapful number since it is divisible by the number (10) 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 11804244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764129280).

11804244480 is an abundant number, since it is smaller than the sum of its proper divisors (37724014080).

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

11804244480 is an equidigital number, since it uses as much as digits as its factorization.

11804244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 11804244480 in words is "eleven billion, eight hundred four million, two hundred forty-four thousand, four hundred eighty".