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289768979240 = 23513557248037
BaseRepresentation
bin1000011011101111001…
…00111011101100101000
31000200221111110022201022
410031313210323230220
514221421324313430
6341041254512012
726635513453436
oct4156744735450
91020844408638
10289768979240
11101988041a44
12481ab065608
132142c315680
141004c443d56
15780e3ba4e5
hex437793bb28

289768979240 has 32 divisors (see below), whose sum is σ = 702132527880. Its totient is φ = 106991622912.

The previous prime is 289768979219. The next prime is 289768979281. The reversal of 289768979240 is 42979867982.

It can be written as a sum of positive squares in 4 ways, for example, as 255289688644 + 34479290596 = 505262^2 + 185686^2 .

It is a super-2 number, since 2×2897689792402 (a number of 24 digits) contains 22 as substring.

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, 278623499 + ... + 278624538.

Almost surely, 2289768979240 is an apocalyptic number.

289768979240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289768979240 is an abundant number, since it is smaller than the sum of its proper divisors (412363548640).

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

289768979240 is a wasteful number, since it uses less digits than its factorization.

289768979240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557248061 (or 557248057 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 71.

The spelling of 289768979240 in words is "two hundred eighty-nine billion, seven hundred sixty-eight million, nine hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 557248037 1114496074 2228992148 2786240185 4457984296 5572480370 7244224481 11144960740 14488448962 22289921480 28976897924 36221122405 57953795848 72442244810 144884489620 289768979240