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11924880000 = 27354114517
BaseRepresentation
bin10110001101100011…
…10011101010000000
31010210001202200002020
423012301303222000
5143410232130000
65251143321440
7601336543665
oct130661635200
933701680066
1011924880000
11506a313930
122389750280
131180722717
14811a65a6c
1549bd82ba0
hex2c6c73a80

11924880000 has 320 divisors, whose sum is σ = 43189549920. Its totient is φ = 2890240000.

The previous prime is 11924879983. The next prime is 11924880001. The reversal of 11924880000 is 8842911.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11924880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2637742 + ... + 2642258.

Almost surely, 211924880000 is an apocalyptic number.

11924880000 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 11924880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21594774960).

11924880000 is an abundant number, since it is smaller than the sum of its proper divisors (31264669920).

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

11924880000 is an equidigital number, since it uses as much as digits as its factorization.

11924880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 11924880000 in words is "eleven billion, nine hundred twenty-four million, eight hundred eighty thousand".