Search a number
-
+
29300612304017 = 101913693175093
BaseRepresentation
bin1101010100110000101001…
…00101101000110010010001
310211202010000001100121221202
412222120110211220302101
512320030123222212032
6142152303201400545
76112620326145455
oct652302445506221
9124663001317852
1029300612304017
11937735786453a
1233527a3939155
131347060ab83a2
1473422b512665
1535c29986ed62
hex1aa614968c91

29300612304017 has 8 divisors (see below), whose sum is σ = 29591050555560. Its totient is φ = 29010180585600.

The previous prime is 29300612303971. The next prime is 29300612304023. The reversal of 29300612304017 is 71040321600392.

It is a Cunningham number, because it is equal to 54130042+1.

It can be written as a sum of positive squares in 4 ways, for example, as 23876748595456 + 5423863708561 = 4886384^2 + 2328919^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29300612304017 - 220 = 29300611255441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29300612354017) 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 7 ways as a sum of consecutive naturals, for example, 7640723 + ... + 10815815.

It is an arithmetic number, because the mean of its divisors is an integer number (3698881319445).

Almost surely, 229300612304017 is an apocalyptic number.

It is an amenable number.

29300612304017 is a deficient number, since it is larger than the sum of its proper divisors (290438251543).

29300612304017 is a wasteful number, since it uses less digits than its factorization.

29300612304017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266563.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 29300612304017 in words is "twenty-nine trillion, three hundred billion, six hundred twelve million, three hundred four thousand, seventeen".

Divisors: 1 101 91369 3175093 9228269 320684393 290105072317 29300612304017