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998940280900 = 225289211232
BaseRepresentation
bin11101000100101010111…
…10110000100001000100
310112111102212101010011111
432202111132300201010
5112331312202442100
62042523513014404
7132112446200662
oct16422536604104
93474385333144
10998940280900
11355714823291
121417270b4404
137327987c513
14364c57d1c32
151aeb86da6ba
hexe8957b0844

998940280900 has 81 divisors (see below), whose sum is σ = 2194284205911. Its totient is φ = 394734679680.

The previous prime is 998940280873. The next prime is 998940280909. The reversal of 998940280900 is 9082049899.

The square root of 998940280900 is 999470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 207879459844 + 791060821056 = 455938^2 + 889416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998940280909) 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 26 ways as a sum of consecutive naturals, for example, 889527739 + ... + 889528861.

Almost surely, 2998940280900 is an apocalyptic number.

998940280900 is the 999470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998940280900

998940280900 is an abundant number, since it is smaller than the sum of its proper divisors (1195343925011).

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

998940280900 is an equidigital number, since it uses as much as digits as its factorization.

998940280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 998940280900 in words is "nine hundred ninety-eight billion, nine hundred forty million, two hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1123 1780 2225 2246 4450 4492 5615 7921 8900 11230 15842 22460 28075 31684 39605 56150 79210 99947 112300 158420 198025 199894 396050 399788 499735 792100 999470 1261129 1998940 2498675 2522258 4997350 5044516 6305645 8895283 9994700 12611290 17790566 25222580 31528225 35581132 44476415 63056450 88952830 112240481 126112900 177905660 222382075 224480962 444764150 448961924 561202405 889528300 1122404810 2244809620 2806012025 5612024050 9989402809 11224048100 19978805618 39957611236 49947014045 99894028090 199788056180 249735070225 499470140450 998940280900