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98287396000 = 255349572
BaseRepresentation
bin101101110001001100…
…0101010010010100000
3100101200211002001012221
41123202120222102200
53102243033133000
6113052544000424
710046440036633
oct1334230522240
9311624061187
1098287396000
11387577443a2
1217070300114
139364a6c2b1
144a85817c1a
152853be661a
hex16e262a4a0

98287396000 has 72 divisors (see below), whose sum is σ = 241540859196. Its totient is φ = 39307027200.

The previous prime is 98287395949. The next prime is 98287396099. The reversal of 98287396000 is 69378289.

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 6 ways, for example, as 28166237584 + 70121158416 = 167828^2 + 264804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19825522 + ... + 19830478.

Almost surely, 298287396000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98287396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120770429598).

98287396000 is an abundant number, since it is smaller than the sum of its proper divisors (143253463196).

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

98287396000 is an frugal number, since it uses more digits than its factorization.

98287396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 98287396000 in words is "ninety-eight billion, two hundred eighty-seven million, three hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4957 9914 19828 24785 39656 49570 79312 99140 123925 158624 198280 247850 396560 495700 619625 793120 991400 1239250 1982800 2478500 3965600 4957000 9914000 19828000 24571849 49143698 98287396 122859245 196574792 245718490 393149584 491436980 614296225 786299168 982873960 1228592450 1965747920 2457184900 3071481125 3931495840 4914369800 6142962250 9828739600 12285924500 19657479200 24571849000 49143698000 98287396000