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11156444000 = 255313732939
BaseRepresentation
bin10100110001111100…
…11101001101100000
31001210111211002001122
422120332131031200
5140322022202000
65043013151412
7543316131542
oct123076351540
931714732048
1011156444000
114805581559
1221b432b568
13108a471670
1477b995692
15454693085
hex298f9d360

11156444000 has 192 divisors, whose sum is σ = 29934515520. Its totient is φ = 4061491200.

The previous prime is 11156443999. The next prime is 11156444017. The reversal of 11156444000 is 44465111.

11156444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 3794531 + ... + 3797469.

It is an arithmetic number, because the mean of its divisors is an integer number (155908935).

Almost surely, 211156444000 is an apocalyptic number.

11156444000 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 11156444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967257760).

11156444000 is an abundant number, since it is smaller than the sum of its proper divisors (18778071520).

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

11156444000 is a wasteful number, since it uses less digits than its factorization.

11156444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 11156444000 in words is "eleven billion, one hundred fifty-six million, four hundred forty-four thousand".