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11117710080 = 28345157683
BaseRepresentation
bin10100101101010101…
…01100101100000000
31001200210221012010000
422112222230230000
5140232113210310
65035111040000
7542335655631
oct122652545400
931623835100
1011117710080
114795726154
1221a3370000
13108242c199
14776791888
154510914c0
hex296aacb00

11117710080 has 360 divisors, whose sum is σ = 40093198992. Its totient is φ = 2941526016.

The previous prime is 11117710067. The next prime is 11117710117. The reversal of 11117710080 is 8001771111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16277419 + ... + 16278101.

Almost surely, 211117710080 is an apocalyptic number.

11117710080 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 11117710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046599496).

11117710080 is an abundant number, since it is smaller than the sum of its proper divisors (28975488912).

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

11117710080 is an equidigital number, since it uses as much as digits as its factorization.

11117710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 27.

The spelling of 11117710080 in words is "eleven billion, one hundred seventeen million, seven hundred ten thousand, eighty".