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98865000000 = 263257133
BaseRepresentation
bin101110000010011010…
…0000010111001000000
3100110012001221100221200
41130010310002321000
53104433420000000
6113230140021200
710066652430414
oct1340464027100
9313161840850
1098865000000
1138a23795878
12171b1831800
139427626000
144adc410d44
15288978d500
hex1704d02e40

98865000000 has 672 divisors, whose sum is σ = 383727533280. Its totient is φ = 24336000000.

The previous prime is 98864999977. The next prime is 98865000011. The reversal of 98865000000 is 56889.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 16 ways, for example, as 8475780096 + 90389219904 = 92064^2 + 300648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7604999994 + ... + 7605000006.

It is an arithmetic number, because the mean of its divisors is an integer number (571023115).

Almost surely, 298865000000 is an apocalyptic number.

98865000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98865000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191863766640).

98865000000 is an abundant number, since it is smaller than the sum of its proper divisors (284862533280).

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

98865000000 is an frugal number, since it uses more digits than its factorization.

98865000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 98865000000 its reverse (56889), we get a palindrome (98865056889).

The spelling of 98865000000 in words is "ninety-eight billion, eight hundred sixty-five million", and thus it is an aban number.