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11426545350 = 23252113789701
BaseRepresentation
bin10101010010001001…
…10011111011000110
31002111100001122110100
422221010303323012
5141400143422400
65125502304530
7553106014203
oct125104637306
932440048410
1011426545350
114933a94710
12226a888146
13110140164c
147a57c4caa
1546d248100
hex2a9133ec6

11426545350 has 288 divisors, whose sum is σ = 34831386720. Its totient is φ = 2661120000.

The previous prime is 11426545297. The next prime is 11426545363. The reversal of 11426545350 is 5354562411.

11426545350 is a `hidden beast` number, since 1 + 1 + 4 + 265 + 45 + 350 = 666.

11426545350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 16300000 + ... + 16300700.

It is an arithmetic number, because the mean of its divisors is an integer number (120942315).

Almost surely, 211426545350 is an apocalyptic number.

11426545350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11426545350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415693360).

11426545350 is an abundant number, since it is smaller than the sum of its proper divisors (23404841370).

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

11426545350 is a wasteful number, since it uses less digits than its factorization.

11426545350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11426545350 in words is "eleven billion, four hundred twenty-six million, five hundred forty-five thousand, three hundred fifty".