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990484743361 = 172585432
BaseRepresentation
bin11100110100111010111…
…11011100010011000001
310111200121120210022020111
432122131133130103001
5112212003043241421
62035004501311321
7131363064256021
oct16323537342301
93450546708214
10990484743361
113520758a7833
1213bb67405541
137252cb51079
1435d22827a81
151ab7120aee1
hexe69d7dc4c1

990484743361 has 9 divisors (see below), whose sum is σ = 1052193807651. Its totient is φ = 932205011232.

The previous prime is 990484743359. The next prime is 990484743379. The reversal of 990484743361 is 163347484099.

The square root of 990484743361 is 995231.

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

It can be written as a sum of positive squares in only one way, i.e., 771138641025 + 219346102336 = 878145^2 + 468344^2 .

It is not a de Polignac number, because 990484743361 - 21 = 990484743359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 990484743296 and 990484743305.

It is not an unprimeable number, because it can be changed into a prime (990484743341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16889656 + ... + 16948198.

Almost surely, 2990484743361 is an apocalyptic number.

990484743361 is the 995231-st square number.

990484743361 is the 497616-th centered octagonal number.

It is an amenable number.

990484743361 is a deficient number, since it is larger than the sum of its proper divisors (61709064290).

990484743361 is an frugal number, since it uses more digits than its factorization.

990484743361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117120 (or 58560 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 990484743361 in words is "nine hundred ninety billion, four hundred eighty-four million, seven hundred forty-three thousand, three hundred sixty-one".

Divisors: 1 17 289 58543 995231 16918927 3427282849 58263808433 990484743361