Search a number
-
+
129056338253 = 1746116467569
BaseRepresentation
bin111100000110001011…
…0110111000101001101
3110100010011021021001202
41320030112313011031
54103301410311003
6135142045115245
712216064526633
oct1701426670515
9410104237052
10129056338253
114a806a36097
1221018858b25
13c2295319bb
146364025353
1535550b0088
hex1e0c5b714d

129056338253 has 8 divisors (see below), whose sum is σ = 136944312120. Its totient is φ = 121201300480.

The previous prime is 129056338241. The next prime is 129056338261. The reversal of 129056338253 is 352833650921.

It can be written as a sum of positive squares in 4 ways, for example, as 7006024804 + 122050313449 = 83702^2 + 349357^2 .

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 129056338253 - 26 = 129056338189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129056338198 and 129056338207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129056338223) 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, 8225948 + ... + 8241621.

It is an arithmetic number, because the mean of its divisors is an integer number (17118039015).

Almost surely, 2129056338253 is an apocalyptic number.

It is an amenable number.

129056338253 is a deficient number, since it is larger than the sum of its proper divisors (7887973867).

129056338253 is a wasteful number, since it uses less digits than its factorization.

129056338253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468047.

The product of its (nonzero) digits is 1166400, while the sum is 47.

The spelling of 129056338253 in words is "one hundred twenty-nine billion, fifty-six million, three hundred thirty-eight thousand, two hundred fifty-three".

Divisors: 1 17 461 7837 16467569 279948673 7591549309 129056338253