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11325839616 = 283272137717
BaseRepresentation
bin10101000110001001…
…01001100100000000
31002020022120021011100
422203010221210000
5141143403331431
65111504014400
7550444022400
oct124304514400
932208507140
1011325839616
114892160a33
122241001400
1310b65a1860
1479628c800
154644a44e6
hex2a3129900

11325839616 has 324 divisors, whose sum is σ = 40913997852. Its totient is φ = 2986647552.

The previous prime is 11325839593. The next prime is 11325839741. The reversal of 11325839616 is 61693852311.

11325839616 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 583 + 9 + 61 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3457440000 + 7868399616 = 58800^2 + 88704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1463790 + ... + 1471506.

Almost surely, 211325839616 is an apocalyptic number.

11325839616 is a gapful number since it is divisible by the number (16) 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 11325839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456998926).

11325839616 is an abundant number, since it is smaller than the sum of its proper divisors (29588158236).

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

11325839616 is a wasteful number, since it uses less digits than its factorization.

11325839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7742 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 11325839616 in words is "eleven billion, three hundred twenty-five million, eight hundred thirty-nine thousand, six hundred sixteen".