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13543303680 = 293754159
BaseRepresentation
bin11001001110011111…
…00110101000000000
31021221212010010000000
430213033212220000
5210214041204210
610115520000000
7656421116244
oct144717465000
937855103000
1013543303680
11581a929565
12275b760000
13137ab0927a
14926994424
15543ec0ac0
hex3273e6a00

13543303680 has 640 divisors, whose sum is σ = 50734252800. Its totient is φ = 3463741440.

The previous prime is 13543303679. The next prime is 13543303723. The reversal of 13543303680 is 8630334531.

13543303680 is a `hidden beast` number, since 1 + 3 + 543 + 3 + 0 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229547491 + ... + 229547549.

It is an arithmetic number, because the mean of its divisors is an integer number (79272270).

Almost surely, 213543303680 is an apocalyptic number.

13543303680 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 13543303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367126400).

13543303680 is an abundant number, since it is smaller than the sum of its proper divisors (37190949120).

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

13543303680 is an frugal number, since it uses more digits than its factorization.

13543303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13543303680 in words is "thirteen billion, five hundred forty-three million, three hundred three thousand, six hundred eighty".