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11664562352 = 242927910973
BaseRepresentation
bin10101101110100001…
…10001100010110000
31010002220221011101212
422313100301202300
5142342111443402
65205244015252
7562026100262
oct126720614260
933086834355
1011664562352
114a46383383
122316531528
13113b809a01
147c9261b32
154840b1952
hex2b74318b0

11664562352 has 60 divisors (see below), whose sum is σ = 23704717920. Its totient is φ = 5559380736.

The previous prime is 11664562331. The next prime is 11664562409. The reversal of 11664562352 is 25326546611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057538 + ... + 1068510.

It is an arithmetic number, because the mean of its divisors is an integer number (395078632).

Almost surely, 211664562352 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 11664562352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852358960).

11664562352 is an abundant number, since it is smaller than the sum of its proper divisors (12040155568).

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

11664562352 is a wasteful number, since it uses less digits than its factorization.

11664562352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11083 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The spelling of 11664562352 in words is "eleven billion, six hundred sixty-four million, five hundred sixty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 79 116 158 232 316 464 632 841 1264 1682 2291 3364 4582 6728 9164 10973 13456 18328 21946 36656 43892 66439 87784 132878 175568 265756 318217 531512 636434 866867 1063024 1272868 1733734 2545736 3467468 5091472 6934936 9228293 13869872 18456586 25139143 36913172 50278286 73826344 100556572 147652688 201113144 402226288 729035147 1458070294 2916140588 5832281176 11664562352