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14760000000 = 29325741
BaseRepresentation
bin11011011111100001…
…11011101000000000
31102002122112200120200
431233300323220000
5220212030000000
610440342005200
71031523633654
oct155760735000
942078480520
1014760000000
1162946a9509
122a3b116800
131512bc8215
14a003cca64
155b5c08500
hex36fc3ba00

14760000000 has 480 divisors, whose sum is σ = 54546540048. Its totient is φ = 3840000000.

The previous prime is 14759999983. The next prime is 14760000007. The reversal of 14760000000 is 6741.

14760000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14759334144 + 665856 = 121488^2 + 816^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4100 × 900 × 4000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14760000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359999980 + ... + 360000020.

Almost surely, 214760000000 is an apocalyptic number.

14760000000 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 14760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27273270024).

14760000000 is an abundant number, since it is smaller than the sum of its proper divisors (39786540048).

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

14760000000 is an frugal number, since it uses more digits than its factorization.

14760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 14760000000 its reverse (6741), we get a palindrome (14760006741).

The spelling of 14760000000 in words is "fourteen billion, seven hundred sixty million", and thus it is an aban number.