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643011326352 = 243237120685309
BaseRepresentation
bin10010101101101100111…
…01100011000110010000
32021110201120020211011100
421112312131203012100
541013341344420402
61211221220144400
764312264043643
oct11266635430620
92243646224140
10643011326352
112287771486aa
12a4753238100
134883585b785
142319c765a5a
1511ad5dd471c
hex95b6763190

643011326352 has 60 divisors (see below), whose sum is σ = 1848174837340. Its totient is φ = 208544212224.

The previous prime is 643011326351. The next prime is 643011326371. The reversal of 643011326352 is 253623110346.

643011326352 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 1 + 13 + 2 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 527128273296 + 115883053056 = 726036^2 + 340416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (643011326351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60337327 + ... + 60347982.

Almost surely, 2643011326352 is an apocalyptic number.

It is an amenable number.

643011326352 is an abundant number, since it is smaller than the sum of its proper divisors (1205163510988).

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

643011326352 is a wasteful number, since it uses less digits than its factorization.

643011326352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120685360 (or 120685351 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 643011326352 its reverse (253623110346), we get a palindrome (896634436698).

The spelling of 643011326352 in words is "six hundred forty-three billion, eleven million, three hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 120685309 241370618 362055927 482741236 724111854 965482472 1086167781 1448223708 1930964944 2172335562 2896447416 4344671124 4465356433 5792894832 8689342248 8930712866 13396069299 17378684496 17861425732 26792138598 35722851464 40188207897 53584277196 71445702928 80376415794 107168554392 160752831588 214337108784 321505663176 643011326352