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14600000000 = 295873
BaseRepresentation
bin11011001100011101…
…00101001000000000
31101200111110211211202
431212032211020000
5214400100000000
610412424400332
71024541644445
oct154616451000
941614424752
1014600000000
116212357103
1229b56160a8
1314b8a07771
149c705d9cc
155a6b50dd5
hex3663a5200

14600000000 has 180 divisors, whose sum is σ = 36963848262. Its totient is φ = 5760000000.

The previous prime is 14599999987. The next prime is 14600000057. The reversal of 14600000000 is 641.

It can be written as a sum of positive squares in 9 ways, for example, as 14311815424 + 288184576 = 119632^2 + 16976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199999964 + ... + 200000036.

Almost surely, 214600000000 is an apocalyptic number.

14600000000 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 14600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481924131).

14600000000 is an abundant number, since it is smaller than the sum of its proper divisors (22363848262).

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

14600000000 is an frugal number, since it uses more digits than its factorization.

14600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 14600000000 its reverse (641), we get a palindrome (14600000641).

The spelling of 14600000000 in words is "fourteen billion, six hundred million", and thus it is an aban number.