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11044293120 = 29325731472
BaseRepresentation
bin10100100100100101…
…01000101000000000
31001111200210012222100
422102102220220000
5140104314334440
65023525310400
7540454641210
oct122222505000
931450705870
1011044293120
114758240983
122182865400
1310701652b3
1476ab20240
154498dd230
hex2924a8a00

11044293120 has 720 divisors, whose sum is σ = 46104334848. Its totient is φ = 2390999040.

The previous prime is 11044293119. The next prime is 11044293149. The reversal of 11044293120 is 2139244011.

It is a happy number.

11044293120 is a `hidden beast` number, since 1 + 10 + 442 + 93 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234984937 + ... + 234984983.

Almost surely, 211044293120 is an apocalyptic number.

11044293120 is a gapful number since it is divisible by the number (10) 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 11044293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052167424).

11044293120 is an abundant number, since it is smaller than the sum of its proper divisors (35060041728).

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

11044293120 is an equidigital number, since it uses as much as digits as its factorization.

11044293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11044293120 in words is "eleven billion, forty-four million, two hundred ninety-three thousand, one hundred twenty".