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643513005468 = 2232171051491839
BaseRepresentation
bin10010101110101000101…
…11010011010110011100
32021112000112020202112100
421113110113103112130
541020403312133333
61211343101005100
764330565203164
oct11272427232634
92245015222470
10643513005468
11228a04351643
12a4873253790
13488b5780c18
14232092375a4
1511b14e80213
hex95d45d359c

643513005468 has 36 divisors (see below), whose sum is σ = 1722343633920. Its totient is φ = 201886432896.

The previous prime is 643513005409. The next prime is 643513005493. The reversal of 643513005468 is 864500315346.

643513005468 is a `hidden beast` number, since 64 + 35 + 13 + 0 + 0 + 546 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525745308 + ... + 525746531.

It is an arithmetic number, because the mean of its divisors is an integer number (47842878720).

Almost surely, 2643513005468 is an apocalyptic number.

643513005468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

643513005468 is an abundant number, since it is smaller than the sum of its proper divisors (1078830628452).

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

643513005468 is a wasteful number, since it uses less digits than its factorization.

643513005468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051491866 (or 1051491861 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 643513005468 in words is "six hundred forty-three billion, five hundred thirteen million, five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1051491839 2102983678 3154475517 4205967356 6308951034 9463426551 12617902068 17875361263 18926853102 35750722526 37853706204 53626083789 71501445052 107252167578 160878251367 214504335156 321756502734 643513005468