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129682690560 = 293255628589
BaseRepresentation
bin111100011000110110…
…0001101001000000000
3110101201210212020220100
41320301230031020000
54111042232044220
6135324142042400
712240441452643
oct1706154151000
9411653766810
10129682690560
114aaa8552925
1221172579400
13c2c9226177
1463c32aba5a
153590085d90
hex1e31b0d200

129682690560 has 120 divisors (see below), whose sum is σ = 449127710460. Its totient is φ = 34582044672.

The previous prime is 129682690499. The next prime is 129682690591. The reversal of 129682690560 is 65096286921.

It is a happy number.

129682690560 is a `hidden beast` number, since 12 + 9 + 6 + 8 + 2 + 69 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128255664384 + 1427026176 = 358128^2 + 37776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1296826905602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129682690497 and 129682690506.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2791255 + ... + 2837334.

Almost surely, 2129682690560 is an apocalyptic number.

129682690560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129682690560 is an abundant number, since it is smaller than the sum of its proper divisors (319445019900).

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

129682690560 is an equidigital number, since it uses as much as digits as its factorization.

129682690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628618 (or 5628599 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129682690560 in words is "one hundred twenty-nine billion, six hundred eighty-two million, six hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 5628589 11257178 16885767 22514356 28142945 33771534 45028712 50657301 56285890 67543068 84428835 90057424 101314602 112571780 135086136 168857670 180114848 202629204 225143560 253286505 270172272 337715340 360229696 405258408 450287120 506573010 540344544 675430680 720459392 810516816 900574240 1013146020 1080689088 1350861360 1440918784 1621033632 1801148480 2026292040 2161378176 2701722720 2881837568 3242067264 3602296960 4052584080 4322756352 5403445440 6484134528 7204593920 8105168160 8645512704 10806890880 12968269056 14409187840 16210336320 21613781760 25936538112 32420672640 43227563520 64841345280 129682690560