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11110159374912 = 2633131977613299
BaseRepresentation
bin1010000110101100100100…
…0110100101101001000000
31110100010021002221201222000
42201223021012211221000
52424012101244444122
635343534201144000
72224453051340553
oct241531106455100
943303232851860
1011110159374912
1135a3879364824
1212b5281a8b000
136278b6953030
142a5a3d9a469a
151440027840ac
hexa1ac91a5a40

11110159374912 has 448 divisors, whose sum is σ = 35409993696000. Its totient is φ = 3395658792960.

The previous prime is 11110159374911. The next prime is 11110159374943. The reversal of 11110159374912 is 21947395101111.

11110159374912 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 1 + 593 + 7 + 49 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (11110159374911) 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 63 ways as a sum of consecutive naturals, for example, 3367733839 + ... + 3367737137.

It is an arithmetic number, because the mean of its divisors is an integer number (79040164500).

Almost surely, 211110159374912 is an apocalyptic number.

11110159374912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110159374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704996848000).

11110159374912 is an abundant number, since it is smaller than the sum of its proper divisors (24299834321088).

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

11110159374912 is a wasteful number, since it uses less digits than its factorization.

11110159374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 11110159374912 in words is "eleven trillion, one hundred ten billion, one hundred fifty-nine million, three hundred seventy-four thousand, nine hundred twelve".