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11385748305 = 3252311000723
BaseRepresentation
bin10101001101010010…
…01011101101010001
31002101111021221102200
422212221023231101
5141304222421210
65121444033413
7552102156321
oct124651135521
932344257380
1011385748305
114912a5a248
122259092869
1310c5b19099
147a0205281
1546988a0c0
hex2a6a4bb51

11385748305 has 24 divisors (see below), whose sum is σ = 20593355328. Its totient is φ = 5808381216.

The previous prime is 11385748303. The next prime is 11385748307. The reversal of 11385748305 is 50384758311.

It is a happy number.

11385748305 is a `hidden beast` number, since 11 + 38 + 574 + 8 + 30 + 5 = 666.

11385748305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11385748303) and next prime (11385748307).

It is not a de Polignac number, because 11385748305 - 21 = 11385748303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11385748303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5499327 + ... + 5501396.

It is an arithmetic number, because the mean of its divisors is an integer number (858056472).

Almost surely, 211385748305 is an apocalyptic number.

11385748305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11385748305 is a deficient number, since it is larger than the sum of its proper divisors (9207607023).

11385748305 is a wasteful number, since it uses less digits than its factorization.

11385748305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000757 (or 11000754 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11385748305 in words is "eleven billion, three hundred eighty-five million, seven hundred forty-eight thousand, three hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 11000723 33002169 55003615 99006507 165010845 253016629 495032535 759049887 1265083145 2277149661 3795249435 11385748305