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11141054856 = 233217107257331
BaseRepresentation
bin10100110000000111…
…10000000110001000
31001202102212020010100
422120003300012020
5140304102223411
65041303245400
7543041255331
oct123003600610
931672766110
1011141054856
1147a7920458
1221ab149860
131087213b69
1477990b288
15453153456
hex2980f0188

11141054856 has 192 divisors, whose sum is σ = 32470476480. Its totient is φ = 3438673920.

The previous prime is 11141054851. The next prime is 11141054863. The reversal of 11141054856 is 65845014111.

11141054856 is a `hidden beast` number, since 111 + 410 + 54 + 85 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11141054856.

It is not an unprimeable number, because it can be changed into a prime (11141054851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33658611 + ... + 33658941.

It is an arithmetic number, because the mean of its divisors is an integer number (169117065).

Almost surely, 211141054856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141054856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235238240).

11141054856 is an abundant number, since it is smaller than the sum of its proper divisors (21329421624).

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

11141054856 is a wasteful number, since it uses less digits than its factorization.

11141054856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 11141054856 its reverse (65845014111), we get a palindrome (76986068967).

The spelling of 11141054856 in words is "eleven billion, one hundred forty-one million, fifty-four thousand, eight hundred fifty-six".