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643032544641 = 3193141471271487
BaseRepresentation
bin10010101101101111011…
…10011111010110000001
32021110210001011211011220
421112313232133112001
541013412312412031
61211223255025253
764312642305564
oct11266756372601
92243701154156
10643032544641
11228788120283
12a475a36b229
134883a07a586
14231a14ca4db
1511ad7bc6596
hex95b7b9f581

643032544641 has 128 divisors (see below), whose sum is σ = 982977085440. Its totient is φ = 372075379200.

The previous prime is 643032544607. The next prime is 643032544673. The reversal of 643032544641 is 146445230346.

It is not a de Polignac number, because 643032544641 - 227 = 642898326913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 643032544593 and 643032544602.

It is not an unprimeable number, because it can be changed into a prime (643032544601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 432435400 + ... + 432436886.

It is an arithmetic number, because the mean of its divisors is an integer number (7679508480).

Almost surely, 2643032544641 is an apocalyptic number.

It is an amenable number.

643032544641 is a deficient number, since it is larger than the sum of its proper divisors (339944540799).

643032544641 is a wasteful number, since it uses less digits than its factorization.

643032544641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755.

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 643032544641 its reverse (146445230346), we get a palindrome (789477774987).

The spelling of 643032544641 in words is "six hundred forty-three billion, thirty-two million, five hundred forty-four thousand, six hundred forty-one".

Divisors: 1 3 19 31 41 47 57 93 123 127 141 381 589 779 893 1271 1457 1487 1767 1927 2337 2413 2679 3813 3937 4371 4461 5207 5781 5969 7239 11811 15621 17907 24149 27683 28253 36613 46097 59737 60967 69889 72447 74803 83049 84759 98933 109839 113411 138291 161417 179211 182901 185039 188849 209667 224409 244729 296799 340233 484251 555117 566547 734187 875843 1135003 1158373 1327891 1889977 2166559 2627529 2865449 3066923 3405009 3475119 3515741 3588131 3983673 4649851 5669931 5854319 6499677 7586599 7742809 8596347 8875903 9200769 10547223 10764393 13949553 17562957 22759797 23228427 26627709 35909563 41164621 54443531 88828919 107728689 111232061 123493863 144145381 147113371 163330593 168642157 240027079 266486757 275152993 333696183 363912023 432436143 441340113 505926471 720081237 825458979 1091736069 1687749461 4560514501 5063248383 5227906867 6914328437 11281272713 13681543503 15683720601 20742985311 33843818139 214344181547 643032544641