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29993244602009 = 1313613109545257
BaseRepresentation
bin1101101000111010110001…
…01100001010111010011001
310221012022210210012222120112
412310131120230022322121
512412402131104231014
6143442412323334105
76213640363430303
oct664353054127231
9127168723188515
1029993244602009
119614077723607
123444a84b21335
131397473a08a30
14759976102973
153702d6bc973e
hex1b4758b0ae99

29993244602009 has 16 divisors (see below), whose sum is σ = 32334606381840. Its totient is φ = 27656780175360.

The previous prime is 29993244601997. The next prime is 29993244602011. The reversal of 29993244602009 is 90020644239992.

It can be written as a sum of positive squares in 8 ways, for example, as 10560550090000 + 19432694512009 = 3249700^2 + 4408253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29993244602009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29993244302009) 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 15 ways as a sum of consecutive naturals, for example, 54734909 + ... + 55280165.

It is an arithmetic number, because the mean of its divisors is an integer number (2020912898865).

Almost surely, 229993244602009 is an apocalyptic number.

It is an amenable number.

29993244602009 is a deficient number, since it is larger than the sum of its proper divisors (2341361779831).

29993244602009 is a wasteful number, since it uses less digits than its factorization.

29993244602009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549740.

The product of its (nonzero) digits is 15116544, while the sum is 59.

The spelling of 29993244602009 in words is "twenty-nine trillion, nine hundred ninety-three billion, two hundred forty-four million, six hundred two thousand, nine".

Divisors: 1 13 1361 3109 17693 40417 545257 4231349 7088341 55007537 742094777 1695204013 9647232101 22037652169 2307172661693 29993244602009