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256481887753728 = 293473134493089
BaseRepresentation
bin111010010100010011010111…
…110011111001011000000000
31020122010102120202011010220000
4322110103113303321120000
5232104144401231104403
62305254052544520000
7105011130163626000
oct7224232763713000
91218112522133800
10256481887753728
11747a53a319360a
1224923aa9320000
13b0161a491b510
144749b0a956000
151e9ba3863d7a3
hexe944d7cf9600

256481887753728 has 1600 divisors, whose sum is σ = 963873464400000. Its totient is φ = 67471071510528.

The previous prime is 256481887753723. The next prime is 256481887753747. The reversal of 256481887753728 is 827357788184652.

256481887753728 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 8 + 1 + 8 + 8 + 77 + 537 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256481887753723) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 83030716408 + ... + 83030719496.

It is an arithmetic number, because the mean of its divisors is an integer number (602420915250).

Almost surely, 2256481887753728 is an apocalyptic number.

256481887753728 is a gapful number since it is divisible by the number (28) 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 256481887753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481936732200000).

256481887753728 is an abundant number, since it is smaller than the sum of its proper divisors (707391576646272).

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

256481887753728 is an equidigital number, since it uses as much as digits as its factorization.

256481887753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3563 counting only the distinct ones).

The product of its digits is 10115481600, while the sum is 81.

The spelling of 256481887753728 in words is "two hundred fifty-six trillion, four hundred eighty-one billion, eight hundred eighty-seven million, seven hundred fifty-three thousand, seven hundred twenty-eight".