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11658675011 = 432713113217
BaseRepresentation
bin10101101101110100…
…10100001101000011
31010002111212001111012
422312322110031003
5142334110100021
65204513511135
7561625050104
oct126672241503
933074761435
1011658675011
114a43022105
1223145724ab
13113a528089
147c856c3ab
154837ec35b
hex2b6e94343

11658675011 has 16 divisors (see below), whose sum is σ = 12016063488. Its totient is φ = 11305526400.

The previous prime is 11658675001. The next prime is 11658675023. The reversal of 11658675011 is 11057685611.

It is a happy number.

11658675011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11658675011 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 11658675011.

It is not an unprimeable number, because it can be changed into a prime (11658675001) 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 15 ways as a sum of consecutive naturals, for example, 3622475 + ... + 3625691.

It is an arithmetic number, because the mean of its divisors is an integer number (751003968).

Almost surely, 211658675011 is an apocalyptic number.

11658675011 is a deficient number, since it is larger than the sum of its proper divisors (357388477).

11658675011 is a wasteful number, since it uses less digits than its factorization.

11658675011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its (nonzero) digits is 50400, while the sum is 41.

The spelling of 11658675011 in words is "eleven billion, six hundred fifty-eight million, six hundred seventy-five thousand, eleven".

Divisors: 1 43 271 311 3217 11653 13373 84281 138331 871807 1000487 3624083 37487701 43020941 271131977 11658675011