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13014042510528 = 263517160730631
BaseRepresentation
bin1011110101100001000101…
…1000011000010011000000
31201002010111222221222100000
42331120101120120103000
53201210224340314103
643402322452200000
72512143051102333
oct275302130302300
951063458858300
1013014042510528
1141682517a37a4
121562260609000
137352b002c747
1432dc5100661a
151787d23b5aa3
hexbd6116184c0

13014042510528 has 336 divisors, whose sum is σ = 40986327642624. Its totient is φ = 4080163000320.

The previous prime is 13014042510503. The next prime is 13014042510563. The reversal of 13014042510528 is 82501524041031.

13014042510528 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 40 + 42 + 51 + 0 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13014042510492 and 13014042510501.

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 47 ways as a sum of consecutive naturals, for example, 424849773 + ... + 424880403.

It is an arithmetic number, because the mean of its divisors is an integer number (121983117984).

Almost surely, 213014042510528 is an apocalyptic number.

13014042510528 is a gapful number since it is divisible by the number (18) 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 13014042510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493163821312).

13014042510528 is an abundant number, since it is smaller than the sum of its proper divisors (27972285132096).

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

13014042510528 is a wasteful number, since it uses less digits than its factorization.

13014042510528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32282 (or 32260 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 13014042510528 its reverse (82501524041031), we get a palindrome (95515566551559).

The spelling of 13014042510528 in words is "thirteen trillion, fourteen billion, forty-two million, five hundred ten thousand, five hundred twenty-eight".