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285982960769 = 11312121322303
BaseRepresentation
bin1000010100101011110…
…10011010110010000001
31000100011122101122201222
410022111322122302001
514141143114221034
6335213451204425
726442632025632
oct4122572326201
91010148348658
10285982960769
11100314a20260
1247513146715
1320c77b3515c
14dbad6b1889
15768bd1212e
hex4295e9ac81

285982960769 has 24 divisors (see below), whose sum is σ = 322650199296. Its totient is φ = 251379223200.

The previous prime is 285982960759. The next prime is 285982960771. The reversal of 285982960769 is 967069289582.

It is a de Polignac number, because none of the positive numbers 2k-285982960769 is a prime.

It is a super-2 number, since 2×2859829607692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285982960759) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12811472 + ... + 12833774.

It is an arithmetic number, because the mean of its divisors is an integer number (13443758304).

Almost surely, 2285982960769 is an apocalyptic number.

It is an amenable number.

285982960769 is a deficient number, since it is larger than the sum of its proper divisors (36667238527).

285982960769 is a wasteful number, since it uses less digits than its factorization.

285982960769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23589 (or 23558 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 71.

The spelling of 285982960769 in words is "two hundred eighty-five billion, nine hundred eighty-two million, nine hundred sixty thousand, seven hundred sixty-nine".

Divisors: 1 11 31 341 961 1213 10571 13343 22303 37603 245333 413633 691393 1165693 7605323 12822623 21433183 27053539 235765013 297588929 838659709 9225256799 25998450979 285982960769