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14747806080 = 273557192331
BaseRepresentation
bin11011011110000100…
…11010100110000000
31102001210121011200000
431233002122212000
5220200414243310
610435224400000
71031315166120
oct155702324600
942053534600
1014747806080
11628882aa97
122a37016000
131510518b97
149dc936c80
155b4aea4c0
hex36f09a980

14747806080 has 1536 divisors, whose sum is σ = 68434329600. Its totient is φ = 2956124160.

The previous prime is 14747806069. The next prime is 14747806081. The reversal of 14747806080 is 8060874741.

14747806080 is a `hidden beast` number, since 1 + 47 + 478 + 0 + 60 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14747806081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475735665 + ... + 475735695.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 214747806080 is an apocalyptic number.

14747806080 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 14747806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34217164800).

14747806080 is an abundant number, since it is smaller than the sum of its proper divisors (53686523520).

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

14747806080 is a wasteful number, since it uses less digits than its factorization.

14747806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14747806080 in words is "fourteen billion, seven hundred forty-seven million, eight hundred six thousand, eighty".