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11240716032 = 283472132337
BaseRepresentation
bin10100111011111111…
…11011011100000000
31002000101101112120000
422131333323130000
5141010110403112
65055223320000
7545361336600
oct123577733400
932011345500
1011240716032
114849100367
1222185b0000
1310a1a69380
14788c50c00
1545bc8c7dc
hex29dffb700

11240716032 has 1080 divisors, whose sum is σ = 44999117856. Its totient is φ = 2759049216.

The previous prime is 11240716031. The next prime is 11240716051. The reversal of 11240716032 is 23061704211.

11240716032 is a `hidden beast` number, since 1 + 12 + 40 + 7 + 1 + 603 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11240715987 and 11240716005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240716031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 303803118 + ... + 303803154.

Almost surely, 211240716032 is an apocalyptic number.

11240716032 is a gapful number since it is divisible by the number (12) 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 11240716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499558928).

11240716032 is an abundant number, since it is smaller than the sum of its proper divisors (33758401824).

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

11240716032 is a wasteful number, since it uses less digits than its factorization.

11240716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11240716032 in words is "eleven billion, two hundred forty million, seven hundred sixteen thousand, thirty-two".