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642716784 = 243223194057
BaseRepresentation
bin100110010011110…
…001010001110000
31122210101101200100
4212103301101300
52304013414114
6143435352400
721633000603
oct4623612160
91583341610
10642716784
112aa8846a6
1215b2b2700
13a3203bb8
146150633a
153b659909
hex264f1470

642716784 has 60 divisors (see below), whose sum is σ = 1876928976. Its totient is φ = 204923136.

The previous prime is 642716783. The next prime is 642716813. The reversal of 642716784 is 487617246.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642716783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93717 + ... + 100340.

Almost surely, 2642716784 is an apocalyptic number.

It is an amenable number.

642716784 is an abundant number, since it is smaller than the sum of its proper divisors (1234212192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642716784 is a wasteful number, since it uses less digits than its factorization.

642716784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194094 (or 194085 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 642716784 is about 25351.8595767648. The cubic root of 642716784 is about 862.9915574787.

The spelling of 642716784 in words is "six hundred forty-two million, seven hundred sixteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 194057 388114 582171 776228 1164342 1552456 1746513 2328684 3104912 3493026 4463311 4657368 6986052 8926622 9314736 13389933 13972104 17853244 26779866 27944208 35706488 40169799 53559732 71412976 80339598 107119464 160679196 214238928 321358392 642716784