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11125040056 = 23131922325247
BaseRepresentation
bin10100101110001101…
…01010001110111000
31001201022201120221121
422113012222032320
5140241002240211
65035532115024
7542455165054
oct122706521670
931638646847
1011125040056
114799882289
1221a5905a74
131083ac7650
1477773cc64
15451a3d271
hex2971aa3b8

11125040056 has 64 divisors (see below), whose sum is σ = 23753318400. Its totient is φ = 4842384768.

The previous prime is 11125040051. The next prime is 11125040093. The reversal of 11125040056 is 65004052111.

It is a happy number.

11125040056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11125040056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125040051) 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, 428025 + ... + 453271.

It is an arithmetic number, because the mean of its divisors is an integer number (371145600).

Almost surely, 211125040056 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 11125040056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876659200).

11125040056 is an abundant number, since it is smaller than the sum of its proper divisors (12628278344).

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

11125040056 is a wasteful number, since it uses less digits than its factorization.

11125040056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25508 (or 25504 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11125040056 its reverse (65004052111), we get a palindrome (76129092167).

The spelling of 11125040056 in words is "eleven billion, one hundred twenty-five million, forty thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 223 247 446 494 892 988 1784 1976 2899 4237 5798 8474 11596 16948 23192 25247 33896 50494 55081 100988 110162 201976 220324 328211 440648 479693 656422 959386 1312844 1918772 2625688 3837544 5630081 6236009 11260162 12472018 22520324 24944036 45040648 49888072 73191053 106971539 146382106 213943078 292764212 427886156 585528424 855772312 1390630007 2781260014 5562520028 11125040056