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428105122821 = 3259877945087
BaseRepresentation
bin1100011101011010000…
…11011100010000000101
31111221000101022112112200
412032231003130100011
524003224402412241
6524400242305113
742633562334415
oct6165503342005
91457011275480
10428105122821
111556161aa132
126ab77658199
13314a727452c
1416a12ab8645
15b208ec74b6
hex63ad0dc405

428105122821 has 12 divisors (see below), whose sum is σ = 618477430272. Its totient is φ = 285355708776.

The previous prime is 428105122799. The next prime is 428105122831. The reversal of 428105122821 is 128221501824.

It is a happy number.

428105122821 is a `hidden beast` number, since 42 + 81 + 0 + 512 + 2 + 8 + 21 = 666.

It is not a de Polignac number, because 428105122821 - 25 = 428105122789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428105122831) 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 11 ways as a sum of consecutive naturals, for example, 3918661 + ... + 4026426.

It is an arithmetic number, because the mean of its divisors is an integer number (51539785856).

Almost surely, 2428105122821 is an apocalyptic number.

It is an amenable number.

428105122821 is a deficient number, since it is larger than the sum of its proper divisors (190372307451).

428105122821 is a wasteful number, since it uses less digits than its factorization.

428105122821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951080 (or 7951077 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 428105122821 in words is "four hundred twenty-eight billion, one hundred five million, one hundred twenty-two thousand, eight hundred twenty-one".

Divisors: 1 3 9 5987 17961 53883 7945087 23835261 71505783 47567235869 142701707607 428105122821