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11664135225 = 325251840601
BaseRepresentation
bin10101101110011110…
…01001010000111001
31010002220010110111100
422313033021100321
5142342004311400
65205230522013
7562022341101
oct126717112071
933086113440
1011664135225
114a46111486
122316366309
13113b6ba482
147c9190201
1548402a100
hex2b73c9439

11664135225 has 18 divisors (see below), whose sum is σ = 20891762606. Its totient is φ = 6220872000.

The previous prime is 11664135221. The next prime is 11664135229. The reversal of 11664135225 is 52253146611.

11664135225 is a `hidden beast` number, since 1 + 1 + 6 + 641 + 3 + 5 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11664135221) and next prime (11664135229).

It can be written as a sum of positive squares in 3 ways, for example, as 46744569 + 11617390656 = 6837^2 + 107784^2 .

It is not a de Polignac number, because 11664135225 - 22 = 11664135221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11664135225.

It is not an unprimeable number, because it can be changed into a prime (11664135221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25920076 + ... + 25920525.

Almost surely, 211664135225 is an apocalyptic number.

11664135225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11664135225 is a deficient number, since it is larger than the sum of its proper divisors (9227627381).

11664135225 is a wasteful number, since it uses less digits than its factorization.

11664135225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51840617 (or 51840609 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 11664135225 in words is "eleven billion, six hundred sixty-four million, one hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 51840601 155521803 259203005 466565409 777609015 1296015025 2332827045 3888045075 11664135225