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43429309609 = 7442532
BaseRepresentation
bin101000011100100101…
…101010110010101001
311011002122220111220111
4220130211222302221
51202420400401414
631541240454321
73065135020000
oct503445526251
9134078814814
1043429309609
1117466793114
12850047a3a1
13413169b04a
14215dc07c37
1511e2acd8c4
hexa1c96aca9

43429309609 has 15 divisors (see below), whose sum is σ = 50676428663. Its totient is φ = 37216369848.

The previous prime is 43429309591. The next prime is 43429309613. The reversal of 43429309609 is 90690392434.

The square root of 43429309609 is 208397.

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., 4473603225 + 38955706384 = 66885^2 + 197372^2 .

It is a de Polignac number, because none of the positive numbers 2k-43429309609 is a prime.

It is a super-2 number, since 2×434293096092 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (43429309669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10209327 + ... + 10213579.

Almost surely, 243429309609 is an apocalyptic number.

43429309609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

43429309609 is the 208397-th square number.

43429309609 is the 104199-th centered octagonal number.

It is an amenable number.

43429309609 is a deficient number, since it is larger than the sum of its proper divisors (7247119054).

43429309609 is an frugal number, since it uses more digits than its factorization.

43429309609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

Multiplying 43429309609 by its sum of digits (49), we get a square (2128036170841 = 14587792).

43429309609 divided by its sum of digits (49) gives a square (886312441 = 297712).

The spelling of 43429309609 in words is "forty-three billion, four hundred twenty-nine million, three hundred nine thousand, six hundred nine".

Divisors: 1 7 49 343 2401 4253 29771 208397 1458779 10211453 18088009 126616063 886312441 6204187087 43429309609