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11324880000 = 27335472107
BaseRepresentation
bin10101000110000001…
…11111010010000000
31002020020202111211000
422203000333102000
5141143132130000
65111431252000
7550432614600
oct124300772200
932206674730
1011324880000
114891665a65
12224081a000
1310b6326b35
147960bcc00
15464365000
hex2a303f480

11324880000 has 960 divisors, whose sum is σ = 49039927200. Its totient is φ = 2564352000.

The previous prime is 11324879981. The next prime is 11324880013. The reversal of 11324880000 is 8842311.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105839947 + ... + 105840053.

Almost surely, 211324880000 is an apocalyptic number.

11324880000 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 11324880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24519963600).

11324880000 is an abundant number, since it is smaller than the sum of its proper divisors (37715047200).

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

11324880000 is an equidigital number, since it uses as much as digits as its factorization.

11324880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 11324880000 in words is "eleven billion, three hundred twenty-four million, eight hundred eighty thousand".