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11808630000 = 243254179733
BaseRepresentation
bin10101111111101100…
…10110010011110000
31010110222000120001200
422333312112103300
5143141002130000
65231431531200
7565425461466
oct127766262360
933428016050
1011808630000
11500a733552
122356829b00
13116260c63b
14800444836
15491a6d500
hex2bfd964f0

11808630000 has 300 divisors, whose sum is σ = 41583845160. Its totient is φ = 3127104000.

The previous prime is 11808629999. The next prime is 11808630011. The reversal of 11808630000 is 3680811.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16109634 + ... + 16110366.

Almost surely, 211808630000 is an apocalyptic number.

11808630000 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 11808630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791922580).

11808630000 is an abundant number, since it is smaller than the sum of its proper divisors (29775215160).

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

11808630000 is a wasteful number, since it uses less digits than its factorization.

11808630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11808630000 in words is "eleven billion, eight hundred eight million, six hundred thirty thousand".