Search a number
-
+
129123669248 = 2871923267107
BaseRepresentation
bin111100001000001011…
…1101101010100000000
3110100021211222000211022
41320100113231110000
54103421124403443
6135152452205012
712220543036130
oct1702027552400
9410254860738
10129123669248
114a840a43942
1221037309768
13c23a477722
14636cd50ac0
15355ae5ee68
hex1e105ed500

129123669248 has 432 divisors, whose sum is σ = 332046328320. Its totient is φ = 48936628224.

The previous prime is 129123669239. The next prime is 129123669289. The reversal of 129123669248 is 842966321921.

129123669248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 129123669248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206763211 + ... + 1206763317.

It is an arithmetic number, because the mean of its divisors is an integer number (768625760).

Almost surely, 2129123669248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129123669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166023164160).

129123669248 is an abundant number, since it is smaller than the sum of its proper divisors (202922659072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129123669248 is a wasteful number, since it uses less digits than its factorization.

129123669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 129123669248 in words is "one hundred twenty-nine billion, one hundred twenty-three million, six hundred sixty-nine thousand, two hundred forty-eight".