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13063133882448 = 2434132173508381
BaseRepresentation
bin1011111000010111111101…
…1101000110100001010000
31201020211020021001001120000
42332011333131012201100
53203011244233214243
643441042034450000
72515531430632536
oct276057735064120
951224207031500
1013063133882448
114187053581051
12156b881133900
13739b04774800
1433238abb2156
15179c070c75d3
hexbe17f746850

13063133882448 has 300 divisors, whose sum is σ = 43348845265308. Its totient is φ = 3782987919360.

The previous prime is 13063133882437. The next prime is 13063133882521. The reversal of 13063133882448 is 84428833136031.

It is a happy number.

13063133882448 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 13 + 388 + 244 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3557554277904 + 9505579604544 = 1886148^2 + 3083112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13063133882394 and 13063133882403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1969218 + ... + 5477598.

Almost surely, 213063133882448 is an apocalyptic number.

13063133882448 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 13063133882448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674422632654).

13063133882448 is an abundant number, since it is smaller than the sum of its proper divisors (30285711382860).

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

13063133882448 is a wasteful number, since it uses less digits than its factorization.

13063133882448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508444 (or 3508416 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 13063133882448 in words is "thirteen trillion, sixty-three billion, one hundred thirty-three million, eight hundred eighty-two thousand, four hundred forty-eight".