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98427087360 = 293357203429
BaseRepresentation
bin101101110101010110…
…1100010101000000000
3100102001112221002202000
41123222231202220000
53103034313243420
6113114454024000
710053054303240
oct1335255425000
9312045832660
1098427087360
11388195855a8
12170ab048000
13938799bcc4
144a9a1bbb20
1528610db690
hex16eab62a00

98427087360 has 320 divisors, whose sum is σ = 399569068800. Its totient is φ = 22497509376.

The previous prime is 98427087359. The next prime is 98427087379. The reversal of 98427087360 is 6378072489.

98427087360 is a `hidden beast` number, since 9 + 8 + 4 + 270 + 8 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 98427087297 and 98427087306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382126 + ... + 585554.

It is an arithmetic number, because the mean of its divisors is an integer number (1248653340).

Almost surely, 298427087360 is an apocalyptic number.

98427087360 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 98427087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199784534400).

98427087360 is an abundant number, since it is smaller than the sum of its proper divisors (301141981440).

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

98427087360 is a wasteful number, since it uses less digits than its factorization.

98427087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203468 (or 203446 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 98427087360 in words is "ninety-eight billion, four hundred twenty-seven million, eighty-seven thousand, three hundred sixty".