Search a number
-
+
98382986820 = 22325546572149
BaseRepresentation
bin101101110100000010…
…1010011111001000100
3100101221110221120011200
41123220011103321010
53102442021034240
6113110240502500
710052010406236
oct1335005237104
9311843846150
1098382986820
11387a66a4178
121709831aa30
13937b7cac01
144a943bc256
15285c2c9930
hex16e8153e44

98382986820 has 36 divisors (see below), whose sum is σ = 298428393900. Its totient is φ = 26235463104.

The previous prime is 98382986759. The next prime is 98382986827. The reversal of 98382986820 is 2868928389.

98382986820 is a `hidden beast` number, since 98 + 382 + 98 + 6 + 82 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28230048324 + 70152938496 = 168018^2 + 264864^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (98382986827) 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 11 ways as a sum of consecutive naturals, for example, 273285895 + ... + 273286254.

Almost surely, 298382986820 is an apocalyptic number.

98382986820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98382986820 is an abundant number, since it is smaller than the sum of its proper divisors (200045407080).

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

98382986820 is a wasteful number, since it uses less digits than its factorization.

98382986820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546572164 (or 546572159 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 98382986820 in words is "ninety-eight billion, three hundred eighty-two million, nine hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 546572149 1093144298 1639716447 2186288596 2732860745 3279432894 4919149341 5465721490 6558865788 8198582235 9838298682 10931442980 16397164470 19676597364 24595746705 32794328940 49191493410 98382986820