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256049080560 = 243557213232931
BaseRepresentation
bin1110111001110110110…
…1101110100011110000
3220110220111111222200000
43232131231232203300
513143342031034220
6313343300230000
724333064163100
oct3563555564360
9813814458600
10256049080560
1199654037a89
124175a39b300
131b1b73806c0
14c56dd59200
1569d8de9390
hex3b9db6e8f0

256049080560 has 2880 divisors, whose sum is σ = 1244800327680. Its totient is φ = 48283361280.

The previous prime is 256049080549. The next prime is 256049080579. The reversal of 256049080560 is 65080940652.

256049080560 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 4 + 9 + 0 + 80 + 560 = 666.

256049080560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2560490805602 (a number of 24 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8259647745 + ... + 8259647775.

It is an arithmetic number, because the mean of its divisors is an integer number (432222336).

Almost surely, 2256049080560 is an apocalyptic number.

256049080560 is a gapful number since it is divisible by the number (20) 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 256049080560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622400163840).

256049080560 is an abundant number, since it is smaller than the sum of its proper divisors (988751247120).

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

256049080560 is a wasteful number, since it uses less digits than its factorization.

256049080560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 256049080560 in words is "two hundred fifty-six billion, forty-nine million, eighty thousand, five hundred sixty".