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11481022080 = 2733511217219
BaseRepresentation
bin10101011000101001…
…00111111010000000
31002122010120100111000
422230110213322000
5142003120201310
65135130052000
7554340035403
oct125424477200
932563510430
1011481022080
114961812900
122284b7a000
13110c7965b8
147acb25d3a
15472e094c0
hex2ac527e80

11481022080 has 1152 divisors, whose sum is σ = 49977144000. Its totient is φ = 2481684480.

The previous prime is 11481022051. The next prime is 11481022087. The reversal of 11481022080 is 8022018411.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11481022087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 604264311 + ... + 604264329.

Almost surely, 211481022080 is an apocalyptic number.

11481022080 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 11481022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988572000).

11481022080 is an abundant number, since it is smaller than the sum of its proper divisors (38496121920).

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

11481022080 is a wasteful number, since it uses less digits than its factorization.

11481022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11481022080 in words is "eleven billion, four hundred eighty-one million, twenty-two thousand, eighty".