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11385328565 = 51373232869
BaseRepresentation
bin10101001101001111…
…00101001110110101
31002101110111121122202
422212213211032311
5141304121003230
65121431034245
7552065460512
oct124647451665
932343447582
1011385328565
1149127a2956
122258b0b985
1310c5a00010
147a0136309
15469805a45
hex2a69e53b5

11385328565 has 24 divisors (see below), whose sum is σ = 14918115240. Its totient is φ = 8292201984.

The previous prime is 11385328547. The next prime is 11385328567. The reversal of 11385328565 is 56582358311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3143957041 + 8241371524 = 56071^2 + 90782^2 .

It is a de Polignac number, because none of the positive numbers 2k-11385328565 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385328567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329951 + ... + 362819.

It is an arithmetic number, because the mean of its divisors is an integer number (621588135).

Almost surely, 211385328565 is an apocalyptic number.

It is an amenable number.

11385328565 is a deficient number, since it is larger than the sum of its proper divisors (3532786675).

11385328565 is an equidigital number, since it uses as much as digits as its factorization.

11385328565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33033 (or 32960 counting only the distinct ones).

The product of its digits is 864000, while the sum is 47.

The spelling of 11385328565 in words is "eleven billion, three hundred eighty-five million, three hundred twenty-eight thousand, five hundred sixty-five".

Divisors: 1 5 13 65 73 365 949 4745 5329 26645 32869 69277 164345 346385 427297 2136485 2399437 11997185 31192681 155963405 175158901 875794505 2277065713 11385328565