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11460300642 = 2327194787093
BaseRepresentation
bin10101010110001011…
…00100111101100010
31002120200120121000100
422223011210331202
5141432314110032
65133110003230
7553665643140
oct125305447542
932520517010
1011460300642
11495104a54a
12227a046516
1311083bc9ab
147aa090590
154711b497c
hex2ab164f62

11460300642 has 48 divisors (see below), whose sum is σ = 29871466560. Its totient is φ = 3102035616.

The previous prime is 11460300629. The next prime is 11460300667. The reversal of 11460300642 is 24600306411.

11460300642 is a `hidden beast` number, since 1 + 14 + 6 + 0 + 3 + 0 + 0 + 642 = 666.

11460300642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114603006422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2391153 + ... + 2395940.

It is an arithmetic number, because the mean of its divisors is an integer number (622322220).

Almost surely, 211460300642 is an apocalyptic number.

11460300642 is an abundant number, since it is smaller than the sum of its proper divisors (18411165918).

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

11460300642 is a wasteful number, since it uses less digits than its factorization.

11460300642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787127 (or 4787124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11460300642 in words is "eleven billion, four hundred sixty million, three hundred thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 4787093 9574186 14361279 28722558 33509651 43083837 67019302 86167674 90954767 100528953 181909534 201057906 272864301 301586859 545728602 603173718 636683369 818592903 1273366738 1637185806 1910050107 3820100214 5730150321 11460300642