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11220074880 = 273572239499
BaseRepresentation
bin10100111001100010…
…01100000110000000
31001221221112212012220
422130301030012000
5140434314344010
65053205051040
7545021030400
oct123461140600
931857485186
1011220074880
114838492363
1222116b6a80
13109a6c0181
147861da800
1545a061970
hex29cc4c180

11220074880 has 384 divisors, whose sum is σ = 41860800000. Its totient is φ = 2548740096.

The previous prime is 11220074867. The next prime is 11220074917. The reversal of 11220074880 is 8847002211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22484871 + ... + 22485369.

It is an arithmetic number, because the mean of its divisors is an integer number (109012500).

Almost surely, 211220074880 is an apocalyptic number.

11220074880 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 11220074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400000).

11220074880 is an abundant number, since it is smaller than the sum of its proper divisors (30640725120).

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

11220074880 is a wasteful number, since it uses less digits than its factorization.

11220074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 11220074880 in words is "eleven billion, two hundred twenty million, seventy-four thousand, eight hundred eighty".