Search a number
-
+
98087159520 = 25335719315507
BaseRepresentation
bin101101101011001110…
…0110100011011100000
3100101011212021222102000
41123112130310123200
53101340303101040
6113021032124000
710041456046050
oct1332634643340
9311155258360
1098087159520
113866470a7a9
1217015236600
13933243147c
144a66db3560
152841342130
hex16d67346e0

98087159520 has 768 divisors, whose sum is σ = 426398515200. Its totient is φ = 20551034880.

The previous prime is 98087159483. The next prime is 98087159531. The reversal of 98087159520 is 2595178089.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 17808607 + ... + 17814113.

It is an arithmetic number, because the mean of its divisors is an integer number (555206400).

Almost surely, 298087159520 is an apocalyptic number.

98087159520 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 98087159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213199257600).

98087159520 is an abundant number, since it is smaller than the sum of its proper divisors (328311355680).

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

98087159520 is a wasteful number, since it uses less digits than its factorization.

98087159520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 98087159520 in words is "ninety-eight billion, eighty-seven million, one hundred fifty-nine thousand, five hundred twenty".