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14064499800 = 23355213113197
BaseRepresentation
bin11010001100100111…
…10011110001011000
31100022011211121200000
431012103303301120
5212301002443200
610243335013000
71005350163411
oct150623636130
940264747600
1014064499800
115a6805295a
12288620a160
131431aa3040
14975ca6808
15574b24300
hex3464f3c58

14064499800 has 576 divisors, whose sum is σ = 53487514080. Its totient is φ = 3413975040.

The previous prime is 14064499741. The next prime is 14064499817. The reversal of 14064499800 is 899446041.

14064499800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 71393302 + ... + 71393498.

Almost surely, 214064499800 is an apocalyptic number.

14064499800 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 14064499800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743757040).

14064499800 is an abundant number, since it is smaller than the sum of its proper divisors (39423014280).

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

14064499800 is a wasteful number, since it uses less digits than its factorization.

14064499800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14064499800 in words is "fourteen billion, sixty-four million, four hundred ninety-nine thousand, eight hundred".