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11039944320 = 273254314447
BaseRepresentation
bin10100100100000100…
…00010111010000000
31001111101121021112200
422102002002322000
5140102211204240
65023252153200
7540402656406
oct122202027200
931441537480
1011039944320
114755840629
122181308800
13106c2a1a42
1476a30b476
1544932e930
hex292082e80

11039944320 has 192 divisors, whose sum is σ = 38219351040. Its totient is φ = 2936494080.

The previous prime is 11039944309. The next prime is 11039944367. The reversal of 11039944320 is 2344993011.

11039944320 is a `hidden beast` number, since 1 + 103 + 99 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480337 + ... + 2484783.

It is an arithmetic number, because the mean of its divisors is an integer number (199059120).

Almost surely, 211039944320 is an apocalyptic number.

11039944320 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 11039944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109675520).

11039944320 is an abundant number, since it is smaller than the sum of its proper divisors (27179406720).

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

11039944320 is a wasteful number, since it uses less digits than its factorization.

11039944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11039944320 in words is "eleven billion, thirty-nine million, nine hundred forty-four thousand, three hundred twenty".