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9087228010080 = 25325115231096919
BaseRepresentation
bin1000010000111100100011…
…1111110101111001100000
31012011201201112200212011100
42010033020333311321200
52142341120332310310
631154340453314400
71625346660423453
oct204171077657140
935151645625140
109087228010080
112993965343160
1210291ba335a00
1350bbca61103c
14235b777b149a
1510b5a6502ec0
hex843c8ff5e60

9087228010080 has 288 divisors, whose sum is σ = 33893985565440. Its totient is φ = 2198750192640.

The previous prime is 9087228010079. The next prime is 9087228010099. The reversal of 9087228010080 is 800108227809.

It is a happy number.

9087228010080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7735861 + ... + 8832779.

It is an arithmetic number, because the mean of its divisors is an integer number (117687449880).

Almost surely, 29087228010080 is an apocalyptic number.

9087228010080 is a gapful number since it is divisible by the number (90) 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 9087228010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946992782720).

9087228010080 is an abundant number, since it is smaller than the sum of its proper divisors (24806757555360).

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

9087228010080 is a wasteful number, since it uses less digits than its factorization.

9087228010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097474 (or 1097463 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 9087228010080 in words is "nine trillion, eighty-seven billion, two hundred twenty-eight million, ten thousand, eighty".