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14493280640 = 275172127617
BaseRepresentation
bin11010111111101110…
…11110100110000000
31101102001122221101212
431133313132212000
5214140234440030
610354053145252
71022104565336
oct153767364600
941361587355
1014493280640
116168096293
12298592b228
13149c880707
149b6bddb56
1559c5c0595
hex35fdde980

14493280640 has 192 divisors, whose sum is σ = 37155939840. Its totient is φ = 5404557312.

The previous prime is 14493280639. The next prime is 14493280661. The reversal of 14493280640 is 4608239441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23489612 + ... + 23490228.

It is an arithmetic number, because the mean of its divisors is an integer number (193520520).

Almost surely, 214493280640 is an apocalyptic number.

14493280640 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 14493280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577969920).

14493280640 is an abundant number, since it is smaller than the sum of its proper divisors (22662659200).

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

14493280640 is a wasteful number, since it uses less digits than its factorization.

14493280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 14493280640 in words is "fourteen billion, four hundred ninety-three million, two hundred eighty thousand, six hundred forty".