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98518771129 = 281211172
BaseRepresentation
bin101101111000000101…
…1010010010110111001
3100102021221110010020011
41123300023102112321
53103231301134004
6113131531101521
710055246510662
oct1336013222671
9312257403204
1098518771129
1138866306a09
12171158a18a1
1393a099045c
144aa8446369
15286919c004
hex16f02d25b9

98518771129 has 9 divisors (see below), whose sum is σ = 98959213101. Its totient is φ = 98080284960.

The previous prime is 98518771103. The next prime is 98518771151. The reversal of 98518771129 is 92117781589.

The square root of 98518771129 is 313877.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14504589225 + 84014181904 = 120435^2 + 289852^2 .

It is not a de Polignac number, because 98518771129 - 235 = 64159032761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98518777129) 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 8 ways as a sum of consecutive naturals, for example, 88198879 + ... + 88199995.

Almost surely, 298518771129 is an apocalyptic number.

98518771129 is the 313877-th square number.

98518771129 is the 156939-th centered octagonal number.

It is an amenable number.

98518771129 is a deficient number, since it is larger than the sum of its proper divisors (440441972).

98518771129 is an frugal number, since it uses more digits than its factorization.

98518771129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 1398 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 58.

The spelling of 98518771129 in words is "ninety-eight billion, five hundred eighteen million, seven hundred seventy-one thousand, one hundred twenty-nine".

Divisors: 1 281 1117 78961 313877 1247689 88199437 350600609 98518771129