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11014744320 = 283256431487
BaseRepresentation
bin10100100001000011…
…11010100100000000
31001102122011222122100
422100201322210000
5140024233304240
65020552110400
7536645532126
oct122041724400
931378158570
1011014744320
114742599488
122174995400
131066cba7b8
14766c2b916
15447002e30
hex29087a900

11014744320 has 216 divisors, whose sum is σ = 38194805376. Its totient is φ = 2930724864.

The previous prime is 11014744303. The next prime is 11014744379. The reversal of 11014744320 is 2344741011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7406617 + ... + 7408103.

Almost surely, 211014744320 is an apocalyptic number.

11014744320 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 11014744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097402688).

11014744320 is an abundant number, since it is smaller than the sum of its proper divisors (27180061056).

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

11014744320 is a wasteful number, since it uses less digits than its factorization.

11014744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 11014744320 in words is "eleven billion, fourteen million, seven hundred forty-four thousand, three hundred twenty".