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256683060821 = 11130320398783
BaseRepresentation
bin1110111100001110000…
…0001010111001010101
3220112112200110112002102
43233003200022321111
513201141330421241
6313530224451445
724354563006045
oct3570340127125
9815480415072
10256683060821
1199949994810
12418b6779b85
131b288815b55
14c5d0229725
156a248ca39b
hex3bc380ae55

256683060821 has 16 divisors (see below), whose sum is σ = 280402145280. Its totient is φ = 233028262320.

The previous prime is 256683060791. The next prime is 256683060857. The reversal of 256683060821 is 128060386652.

256683060821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256683060821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256683060871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29220596 + ... + 29229378.

It is an arithmetic number, because the mean of its divisors is an integer number (17525134080).

Almost surely, 2256683060821 is an apocalyptic number.

It is an amenable number.

256683060821 is a deficient number, since it is larger than the sum of its proper divisors (23719084459).

256683060821 is a wasteful number, since it uses less digits than its factorization.

256683060821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136.

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 256683060821 in words is "two hundred fifty-six billion, six hundred eighty-three million, sixty thousand, eight hundred twenty-one".

Divisors: 1 11 1303 2039 8783 14333 22429 96613 2656817 11444249 17908537 29224987 125886739 196993907 23334823711 256683060821