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29414683304065 = 553632771754173
BaseRepresentation
bin1101011000000101000111…
…01111111110000010000001
310212011000102212001211112101
412230002203233332002001
512323412232411212230
6142320530255030401
76124066162512643
oct654024357760201
9125130385054471
1029414683304065
1194107739821a4
123370919b0b401
131354a3c835757
1473996d24c893
15360224064aca
hex1ac0a3bfe081

29414683304065 has 16 divisors (see below), whose sum is σ = 35964201648528. Its totient is φ = 23087373394176.

The previous prime is 29414683304063. The next prime is 29414683304081. The reversal of 29414683304065 is 56040338641492.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110465828496 + 29304217475569 = 332364^2 + 5413337^2 .

It is a cyclic number.

It is not a de Polignac number, because 29414683304065 - 21 = 29414683304063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29414683303997 and 29414683304015.

It is not an unprimeable number, because it can be changed into a prime (29414683304063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15891319 + ... + 17645491.

It is an arithmetic number, because the mean of its divisors is an integer number (2247762603033).

Almost surely, 229414683304065 is an apocalyptic number.

It is an amenable number.

29414683304065 is a deficient number, since it is larger than the sum of its proper divisors (6549518344463).

29414683304065 is a wasteful number, since it uses less digits than its factorization.

29414683304065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817508.

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 29414683304065 in words is "twenty-nine trillion, four hundred fourteen billion, six hundred eighty-three million, three hundred four thousand, sixty-five".

Divisors: 1 5 53 265 63277 316385 1754173 3353681 8770865 16768405 92971169 464855845 110998804921 554994024605 5882936660813 29414683304065