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11209136640 = 293513192311
BaseRepresentation
bin10100111000001110…
…11101101000000000
31001221011222010202220
422130013131220000
5140424014333030
65052134411040
7544526042442
oct123407355000
931834863686
1011209136640
1148322a1299
122209b00a80
131098360540
14784990492
15459100a10
hex29c1dda00

11209136640 has 480 divisors, whose sum is σ = 40859634816. Its totient is φ = 2605547520.

The previous prime is 11209136639. The next prime is 11209136647. The reversal of 11209136640 is 4663190211.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11209136647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36042085 + ... + 36042395.

Almost surely, 211209136640 is an apocalyptic number.

11209136640 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 11209136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429817408).

11209136640 is an abundant number, since it is smaller than the sum of its proper divisors (29650498176).

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

11209136640 is a wasteful number, since it uses less digits than its factorization.

11209136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11209136640 in words is "eleven billion, two hundred nine million, one hundred thirty-six thousand, six hundred forty".