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288992398340 = 22569172089001
BaseRepresentation
bin1000011010010010100…
…10100000110000000100
31000121221101011220222202
410031021102200300010
514213324023221330
6340432234014032
726610333566252
oct4151122406004
91017841156882
10288992398340
11101619747248
1248012b77318
1321337472249
14ddb72535d2
1577b611c445
hex43494a0c04

288992398340 has 24 divisors (see below), whose sum is σ = 606972065112. Its totient is φ = 115580192000.

The previous prime is 288992398273. The next prime is 288992398379. The reversal of 288992398340 is 43893299882.

It can be written as a sum of positive squares in 4 ways, for example, as 975562756 + 288016835584 = 31234^2 + 536672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906161 + ... + 1182840.

It is an arithmetic number, because the mean of its divisors is an integer number (25290502713).

Almost surely, 2288992398340 is an apocalyptic number.

288992398340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288992398340 is an abundant number, since it is smaller than the sum of its proper divisors (317979666772).

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

288992398340 is a wasteful number, since it uses less digits than its factorization.

288992398340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095927 (or 2095925 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 65.

The spelling of 288992398340 in words is "two hundred eighty-eight billion, nine hundred ninety-two million, three hundred ninety-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 6917 13834 27668 34585 69170 138340 2089001 4178002 8356004 10445005 20890010 41780020 14449619917 28899239834 57798479668 72248099585 144496199170 288992398340