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428564517983 = 729107105118773
BaseRepresentation
bin1100011110010000110…
…11111001010001011111
31111222012101202020020022
412033020123321101133
524010200004033413
6524514012542355
742651141204050
oct6171033712137
91458171666208
10428564517983
11155831552558
126b0854819bb
133154b4b06a4
1416a57b00727
15b2344be608
hex63c86f945f

428564517983 has 32 divisors (see below), whose sum is σ = 511926428160. Its totient is φ = 351006364800.

The previous prime is 428564517947. The next prime is 428564518003. The reversal of 428564517983 is 389715465824.

It is not a de Polignac number, because 428564517983 - 220 = 428563469407 is a prime.

It is a super-2 number, since 2×4285645179832 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428564517923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22819385 + ... + 22838157.

It is an arithmetic number, because the mean of its divisors is an integer number (15997700880).

Almost surely, 2428564517983 is an apocalyptic number.

428564517983 is a deficient number, since it is larger than the sum of its proper divisors (83361910177).

428564517983 is a wasteful number, since it uses less digits than its factorization.

428564517983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967.

The product of its digits is 58060800, while the sum is 62.

The spelling of 428564517983 in words is "four hundred twenty-eight billion, five hundred sixty-four million, five hundred seventeen thousand, nine hundred eighty-three".

Divisors: 1 7 29 107 203 749 1051 3103 7357 18773 21721 30479 112457 131411 213353 544417 787199 2008711 3261253 3810919 14060977 19730423 22828771 58252619 138112961 407768333 572182267 2111155261 4005275869 14778086827 61223502569 428564517983