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98491662900 = 223252109435181
BaseRepresentation
bin101101110111010001…
…1111000001000110100
3100102020001102212201200
41123232203320020310
53103202331203100
6113125122052500
710054500215151
oct1335643701064
9312201385650
1098491662900
1138851a81114
12171087aa130
13939818b797
144aa49cb228
152866ae4e00
hex16ee8f8234

98491662900 has 54 divisors (see below), whose sum is σ = 308716648422. Its totient is φ = 26264443200.

The previous prime is 98491662721. The next prime is 98491662901. The reversal of 98491662900 is 926619489.

98491662900 is a `hidden beast` number, since 9 + 8 + 4 + 9 + 1 + 6 + 629 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 224460324 + 98267202576 = 14982^2 + 313476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98491662901) 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 17 ways as a sum of consecutive naturals, for example, 54716691 + ... + 54718490.

Almost surely, 298491662900 is an apocalyptic number.

98491662900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98491662900 is an abundant number, since it is smaller than the sum of its proper divisors (210224985522).

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

98491662900 is a wasteful number, since it uses less digits than its factorization.

98491662900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109435201 (or 109435191 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 98491662900 in words is "ninety-eight billion, four hundred ninety-one million, six hundred sixty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 109435181 218870362 328305543 437740724 547175905 656611086 984916629 1094351810 1313222172 1641527715 1969833258 2188703620 2735879525 3283055430 3939666516 4924583145 5471759050 6566110860 8207638575 9849166290 10943518100 16415277150 19698332580 24622915725 32830554300 49245831450 98491662900