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43983736729 = 40125232
BaseRepresentation
bin101000111101101000…
…101000111110011001
311012112022011022221021
4220331220220332121
51210034314033404
632112244042441
73114646410412
oct507550507631
9135468138837
1043983736729
1117720744449
128636093421
1341bc4cb62a
1421b36ca809
1512265e8454
hexa3da28f99

43983736729 has 9 divisors (see below), whose sum is σ = 44178165759. Its totient is φ = 43790162400.

The previous prime is 43983736711. The next prime is 43983736781. The reversal of 43983736729 is 92763738934.

The square root of 43983736729 is 209723.

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

It can be written as a sum of positive squares in only one way, i.e., 43546090329 + 437646400 = 208677^2 + 20920^2 .

It is not a de Polignac number, because 43983736729 - 235 = 9623998361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43983736799) 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 8 ways as a sum of consecutive naturals, for example, 84098662 + ... + 84099184.

Almost surely, 243983736729 is an apocalyptic number.

43983736729 is the 209723-rd square number.

43983736729 is the 104862-nd centered octagonal number.

It is an amenable number.

43983736729 is a deficient number, since it is larger than the sum of its proper divisors (194429030).

43983736729 is an frugal number, since it uses more digits than its factorization.

43983736729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 924 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 61.

The spelling of 43983736729 in words is "forty-three billion, nine hundred eighty-three million, seven hundred thirty-six thousand, seven hundred twenty-nine".

Divisors: 1 401 523 160801 209723 273529 84098923 109685129 43983736729