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11130254064 = 24348588159
BaseRepresentation
bin10100101110110101…
…00011001011110000
31001201200112111020000
422113122203023300
5140243321112224
65040235550000
7542550412206
oct122732431360
931650474200
1011130254064
1147a1813686
1221a75bb300
131084c01967
147782d9076
1545221d0c9
hex2976a32f0

11130254064 has 50 divisors (see below), whose sum is σ = 32214188160. Its totient is φ = 3710084256.

The previous prime is 11130254033. The next prime is 11130254071. The reversal of 11130254064 is 46045203111.

It is a happy number.

11130254064 is a `hidden beast` number, since 1 + 113 + 0 + 2 + 540 + 6 + 4 = 666.

11130254064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 4292784 + ... + 4295375.

Almost surely, 211130254064 is an apocalyptic number.

It is an amenable number.

11130254064 is an abundant number, since it is smaller than the sum of its proper divisors (21083934096).

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

11130254064 is an equidigital number, since it uses as much as digits as its factorization.

11130254064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588179 (or 8588164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11130254064 its reverse (46045203111), we get a palindrome (57175457175).

The spelling of 11130254064 in words is "eleven billion, one hundred thirty million, two hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8588159 17176318 25764477 34352636 51528954 68705272 77293431 103057908 137410544 154586862 206115816 231880293 309173724 412231632 463760586 618347448 695640879 927521172 1236694896 1391281758 1855042344 2782563516 3710084688 5565127032 11130254064