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11115544416 = 253671728163
BaseRepresentation
bin10100101101000100…
…11011111101100000
31001200122212011101020
422112202123331200
5140231034410131
65034552405440
7542311366014
oct122642337540
931618764336
1011115544416
114794487049
1221a26a6880
131081b51522
1477638a544
15450cb4996
hex29689bf60

11115544416 has 48 divisors (see below), whose sum is σ = 29613818304. Its totient is φ = 3649878144.

The previous prime is 11115544387. The next prime is 11115544417. The reversal of 11115544416 is 61444551111.

It is a happy number.

11115544416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11115544417) 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 7 ways as a sum of consecutive naturals, for example, 857650 + ... + 870513.

It is an arithmetic number, because the mean of its divisors is an integer number (616954548).

Almost surely, 211115544416 is an apocalyptic number.

11115544416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11115544416 is an abundant number, since it is smaller than the sum of its proper divisors (18498273888).

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

11115544416 is a wasteful number, since it uses less digits than its factorization.

11115544416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728243 (or 1728235 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The spelling of 11115544416 in words is "eleven billion, one hundred fifteen million, five hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 1728163 3456326 5184489 6912652 10368978 13825304 20737956 27650608 41475912 55301216 82951824 115786921 165903648 231573842 347360763 463147684 694721526 926295368 1389443052 1852590736 2778886104 3705181472 5557772208 11115544416