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11428065000 = 2332541123087
BaseRepresentation
bin10101010010010101…
…00110111011101000
31002111102220212000200
422221022212323220
5141401041040000
65125555032200
7553124643522
oct125112467350
932442825020
1011428065000
114934932420
12226b29b660
131101814251
147a5a9ca12
1546d448500
hex2a92a6ee8

11428065000 has 240 divisors, whose sum is σ = 42194243520. Its totient is φ = 2770320000.

The previous prime is 11428064983. The next prime is 11428065043. The reversal of 11428065000 is 56082411.

11428065000 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 0 + 650 + 0 + 0 = 666.

11428065000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 483457 + ... + 506543.

It is an arithmetic number, because the mean of its divisors is an integer number (175809348).

Almost surely, 211428065000 is an apocalyptic number.

11428065000 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 11428065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097121760).

11428065000 is an abundant number, since it is smaller than the sum of its proper divisors (30766178520).

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

11428065000 is a wasteful number, since it uses less digits than its factorization.

11428065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130 (or 23108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11428065000 in words is "eleven billion, four hundred twenty-eight million, sixty-five thousand".