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11358942757344 = 2532713795486267
BaseRepresentation
bin1010010101001011010110…
…1111111000000111100000
31111012220102020210000112100
42211102311233320013200
52442101103321213334
640054120512330400
72251441122241410
oct245226557700740
944186366700470
1011358942757344
11368a334072206
121335532b43a00
136451b394ca70
142b3ac099c640
1514a71387dc99
hexa54b5bf81e0

11358942757344 has 288 divisors, whose sum is σ = 40259551288320. Its totient is φ = 2957843506176.

The previous prime is 11358942757313. The next prime is 11358942757369. The reversal of 11358942757344 is 44375724985311.

It is a happy number.

11358942757344 is a `hidden beast` number, since 1 + 1 + 3 + 58 + 9 + 4 + 2 + 7 + 573 + 4 + 4 = 666.

11358942757344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672702 + ... + 4813565.

It is an arithmetic number, because the mean of its divisors is an integer number (139790108640).

Almost surely, 211358942757344 is an apocalyptic number.

11358942757344 is a gapful number since it is divisible by the number (14) 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 11358942757344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129775644160).

11358942757344 is an abundant number, since it is smaller than the sum of its proper divisors (28900608530976).

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

11358942757344 is a wasteful number, since it uses less digits than its factorization.

11358942757344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486382 (or 5486371 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 11358942757344 in words is "eleven trillion, three hundred fifty-eight billion, nine hundred forty-two million, seven hundred fifty-seven thousand, three hundred forty-four".