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11621352249 = 3213149366529
BaseRepresentation
bin10101101001010111…
…11100001100111001
31002222220121212021200
422310223330030321
5142300031232444
65201101524413
7560662602303
oct126453741471
932886555250
1011621352249
114a23a4aa51
122303b73709
13113288acc0
147c3614973
154803c8969
hex2b4afc339

11621352249 has 24 divisors (see below), whose sum is σ = 18090039240. Its totient is φ = 7146703872.

The previous prime is 11621352247. The next prime is 11621352313. The reversal of 11621352249 is 94225312611.

11621352249 is a `hidden beast` number, since 1 + 1 + 62 + 1 + 352 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3551564025 + 8069788224 = 59595^2 + 89832^2 .

It is not a de Polignac number, because 11621352249 - 21 = 11621352247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11621352247) 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, 141417 + ... + 207945.

It is an arithmetic number, because the mean of its divisors is an integer number (753751635).

Almost surely, 211621352249 is an apocalyptic number.

It is an amenable number.

11621352249 is a deficient number, since it is larger than the sum of its proper divisors (6468686991).

11621352249 is a wasteful number, since it uses less digits than its factorization.

11621352249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68041 (or 68038 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11621352249 in words is "eleven billion, six hundred twenty-one million, three hundred fifty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 13 39 117 1493 4479 13437 19409 58227 66529 174681 199587 598761 864877 2594631 7783893 99327797 297983391 893950173 1291261361 3873784083 11621352249