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98832898129 = 729724632
BaseRepresentation
bin101110000001011100…
…1100101100001010001
3100110002211112102110111
41130002321211201101
53104402210220004
6113223032001321
710066112526100
oct1340271454121
9313084472414
1098832898129
1138a0765a1a9
12171a2b30241
139420a96414
144ad8056037
152886a4ba04
hex1702e65851

98832898129 has 27 divisors (see below), whose sum is σ = 116417787867. Its totient is φ = 83659492224.

The previous prime is 98832898061. The next prime is 98832898189. The reversal of 98832898129 is 92189823889.

The square root of 98832898129 is 314377.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44379742225 + 54453155904 = 210665^2 + 233352^2 .

It is not a de Polignac number, because 98832898129 - 215 = 98832865361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98832898189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213461752 + ... + 213462214.

It is an arithmetic number, because the mean of its divisors is an integer number (4311769921).

Almost surely, 298832898129 is an apocalyptic number.

98832898129 is the 314377-th square number.

98832898129 is the 157189-th centered octagonal number.

It is an amenable number.

98832898129 is a deficient number, since it is larger than the sum of its proper divisors (17584889738).

98832898129 is an frugal number, since it uses more digits than its factorization.

98832898129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 567 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 67.

The spelling of 98832898129 in words is "ninety-eight billion, eight hundred thirty-two million, eight hundred ninety-eight thousand, one hundred twenty-nine".

Divisors: 1 7 49 97 463 679 3241 4753 9409 22687 44911 65863 214369 314377 461041 1500583 2200639 4356367 10504081 20793793 30494569 145556551 213461983 1018895857 2016997921 14118985447 98832898129