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428774076315 = 34513139585889
BaseRepresentation
bin1100011110101001110…
…11010010111110011011
31111222202000001220020000
412033110323102332123
524011112130420230
6524550500304043
742656264341224
oct6172473227633
91458660056200
10428774076315
11155929873862
126b1236a2023
1331582a334c0
1416a7789024b
15b247ab5b60
hex63d4ed2f9b

428774076315 has 80 divisors (see below), whose sum is σ = 833698034400. Its totient is φ = 209569794048.

The previous prime is 428774076301. The next prime is 428774076319. The reversal of 428774076315 is 513670477824.

428774076315 is a `hidden beast` number, since 4 + 287 + 7 + 40 + 7 + 6 + 315 = 666.

It is not a de Polignac number, because 428774076315 - 24 = 428774076299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428774076319) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438891 + ... + 1024779.

It is an arithmetic number, because the mean of its divisors is an integer number (10421225430).

Almost surely, 2428774076315 is an apocalyptic number.

428774076315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428774076315 is a deficient number, since it is larger than the sum of its proper divisors (404923958085).

428774076315 is a wasteful number, since it uses less digits than its factorization.

428774076315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586058 (or 586049 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 428774076315 in words is "four hundred twenty-eight billion, seven hundred seventy-four million, seventy-six thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 139 195 351 405 417 585 695 1053 1251 1755 1807 2085 3753 5265 5421 6255 9035 11259 16263 18765 27105 48789 56295 81315 146367 243945 585889 731835 1757667 2929445 5273001 7616557 8788335 15819003 22849671 26365005 38082785 47457009 68549013 79095015 81438571 114248355 205647039 237285045 244315713 342745065 407192855 616941117 732947139 1028235195 1058701423 1221578565 2198841417 3084705585 3176104269 3664735695 5293507115 6596524251 9528312807 10994207085 15880521345 28584938421 32982621255 47641564035 85754815263 142924692105 428774076315