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646314699969 = 3289230112
BaseRepresentation
bin10010110011110110101…
…10111010110011000001
32021210020210010120212100
421121323112322303001
541042123030344334
61212525103021013
764460165206551
oct11317326726301
92253223116770
10646314699969
1122a111887144
12a531559a769
1348c41052513
14233d337d161
1511c2ae01c99
hex967b5bacc1

646314699969 has 27 divisors (see below), whose sum is σ = 944486718019. Its totient is φ = 425893665120.

The previous prime is 646314699941. The next prime is 646314700033. The reversal of 646314699969 is 969996413646.

The square root of 646314699969 is 803937.

It is a perfect power (a square), and thus also a powerful number.

646314699969 is a `hidden beast` number, since 6 + 46 + 31 + 469 + 9 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124106130369 + 522208569600 = 352287^2 + 722640^2 .

It is not a de Polignac number, because 646314699969 - 219 = 646314175681 is a prime.

It is a super-2 number, since 2×6463146999692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 646314699897 and 646314699906.

It is not an unprimeable number, because it can be changed into a prime (646314691969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214649674 + ... + 214652684.

Almost surely, 2646314699969 is an apocalyptic number.

646314699969 is the 803937-th square number.

646314699969 is the 401969-th centered octagonal number.

It is an amenable number.

646314699969 is a deficient number, since it is larger than the sum of its proper divisors (298172018050).

646314699969 is an frugal number, since it uses more digits than its factorization.

646314699969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 3103 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 72.

The spelling of 646314699969 in words is "six hundred forty-six billion, three hundred fourteen million, six hundred ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 89 267 801 3011 7921 9033 23763 27099 71289 267979 803937 2411811 9066121 23850131 27198363 71550393 81595089 214651179 806884769 2420654307 7261962921 71812744441 215438233323 646314699969