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11115944928 = 2534113741257
BaseRepresentation
bin10100101101000111…
…11101101111100000
31001200200121111210000
422112203331233200
5140231140214203
65035005140000
7542314654464
oct122643755740
931620544700
1011115944928
11479472aa50
1221a285a600
131081c6190a
147764524a4
15450d434a3
hex2968fdbe0

11115944928 has 480 divisors, whose sum is σ = 37666889568. Its totient is φ = 3185049600.

The previous prime is 11115944923. The next prime is 11115944951. The reversal of 11115944928 is 82944951111.

It is a happy number.

11115944928 is a `hidden beast` number, since 1 + 1 + 1 + 159 + 4 + 492 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11115944923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43252576 + ... + 43252832.

Almost surely, 211115944928 is an apocalyptic number.

11115944928 is a gapful number since it is divisible by the number (18) 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 11115944928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833444784).

11115944928 is an abundant number, since it is smaller than the sum of its proper divisors (26550944640).

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

11115944928 is a wasteful number, since it uses less digits than its factorization.

11115944928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 11115944928 in words is "eleven billion, one hundred fifteen million, nine hundred forty-four thousand, nine hundred twenty-eight".