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288990106084 = 222687892
BaseRepresentation
bin1000011010010010010…
…01110001000111100100
31000121221012212110121101
410031021021301013210
514213322431343314
6340432112525444
726610305241301
oct4151111610744
91017835773541
10288990106084
11101618421019
1248012250884
1321336b4ba94
14ddb6c180a8
1577b5d18174
hex43492711e4

288990106084 has 9 divisors (see below), whose sum is σ = 505734567177. Its totient is φ = 144494515464.

The previous prime is 288990106057. The next prime is 288990106087. The reversal of 288990106084 is 480601099882.

The square root of 288990106084 is 537578.

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., 621106084 + 288369000000 = 24922^2 + 537000^2 .

It is a super-4 number, since 4×2889901060844 (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288990106087) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 940762 + ... + 1209550.

Almost surely, 2288990106084 is an apocalyptic number.

288990106084 is the 537578-th square number.

It is an amenable number.

288990106084 is a deficient number, since it is larger than the sum of its proper divisors (216744461093).

288990106084 is an frugal number, since it uses more digits than its factorization.

288990106084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537582 (or 268791 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 288990106084 in words is "two hundred eighty-eight billion, nine hundred ninety million, one hundred six thousand, eighty-four".

Divisors: 1 2 4 268789 537578 1075156 72247526521 144495053042 288990106084