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61729399143 = 3237613319181
BaseRepresentation
bin111001011111010110…
…111110000101100111
312220100000202101101100
4321133112332011213
52002410211233033
644205203131143
74313466143466
oct713726760547
9186300671340
1061729399143
11241a7700255
12bb69073ab3
135a89b2b0a9
142db842c9dd
1519144b2513
hexe5f5be167

61729399143 has 48 divisors (see below), whose sum is σ = 93367130272. Its totient is φ = 39261024000.

The previous prime is 61729399129. The next prime is 61729399181. The reversal of 61729399143 is 34199392716.

It is a happy number.

61729399143 is a `hidden beast` number, since 617 + 2 + 9 + 3 + 9 + 9 + 14 + 3 = 666.

It is not a de Polignac number, because 61729399143 - 210 = 61729398119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61729399143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61729399243) 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 47 ways as a sum of consecutive naturals, for example, 6719013 + ... + 6728193.

Almost surely, 261729399143 is an apocalyptic number.

61729399143 is a deficient number, since it is larger than the sum of its proper divisors (31637731129).

61729399143 is a wasteful number, since it uses less digits than its factorization.

61729399143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616 (or 9613 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 61729399143 in words is "sixty-one billion, seven hundred twenty-nine million, three hundred ninety-nine thousand, one hundred forty-three".

Divisors: 1 3 9 37 61 111 183 331 333 549 993 2257 2979 6771 9181 12247 20191 20313 27543 36741 60573 82629 110223 181719 339697 560041 747067 1019091 1680123 2241201 3038911 3057273 5040369 6723603 9116733 20721517 27350199 62164551 112439707 185373571 186493653 337319121 556120713 1011957363 1668362139 6858822127 20576466381 61729399143