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11189440080 = 24325721331787
BaseRepresentation
bin10100110101111000…
…10100111001010000
31001212210220110011200
422122330110321100
5140403444040310
65050152311200
7544166446200
oct123274247120
931783813150
1011189440080
114822168a45
1222033a2500
131094255280
14782104400
1545750e9c0
hex29af14e50

11189440080 has 720 divisors, whose sum is σ = 48655885824. Its totient is φ = 2281789440.

The previous prime is 11189440061. The next prime is 11189440169. The reversal of 11189440080 is 8004498111.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217447 + ... + 14218233.

Almost surely, 211189440080 is an apocalyptic number.

11189440080 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 11189440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24327942912).

11189440080 is an abundant number, since it is smaller than the sum of its proper divisors (37466445744).

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

11189440080 is a wasteful number, since it uses less digits than its factorization.

11189440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11189440080 in words is "eleven billion, one hundred eighty-nine million, four hundred forty thousand, eighty".