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98061125328 = 2432680980037
BaseRepresentation
bin101101101010011100…
…1100000011011010000
3100101010001022022012200
41123110321200123100
53101312122002303
6113014302123200
710041021545445
oct1332471403320
9311101268180
1098061125328
1138650a48941
1217008580500
139329c1761a
144a637579cc
15283dded3a3
hex16d4e606d0

98061125328 has 30 divisors (see below), whose sum is σ = 274434955314. Its totient is φ = 32687041728.

The previous prime is 98061125299. The next prime is 98061125329. The reversal of 98061125328 is 82352116089.

98061125328 is a `hidden beast` number, since 9 + 8 + 0 + 611 + 2 + 5 + 3 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52236016704 + 45825108624 = 228552^2 + 214068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98061125329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340489875 + ... + 340490162.

Almost surely, 298061125328 is an apocalyptic number.

It is an amenable number.

98061125328 is an abundant number, since it is smaller than the sum of its proper divisors (176373829986).

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

98061125328 is a wasteful number, since it uses less digits than its factorization.

98061125328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680980051 (or 680980042 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 98061125328 in words is "ninety-eight billion, sixty-one million, one hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 680980037 1361960074 2042940111 2723920148 4085880222 5447840296 6128820333 8171760444 10895680592 12257640666 16343520888 24515281332 32687041776 49030562664 98061125328