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11986937295120 = 243355549508007
BaseRepresentation
bin1010111001101110110100…
…1000111011000100010000
31120102221101021021221102000
42232123231020323010100
53032343221421420440
641254420054554000
72345012323603554
oct256335510730420
946387337257360
1011986937295120
1139016a4671337
121417195068900
1368c495334a08
142d6256bad864
1515bc1b234730
hexae6ed23b110

11986937295120 has 80 divisors (see below), whose sum is σ = 41288339579520. Its totient is φ = 3196516611456.

The previous prime is 11986937295107. The next prime is 11986937295173. The reversal of 11986937295120 is 2159273968911.

11986937295120 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 6 + 93 + 7 + 29 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774751844 + ... + 2774756163.

It is an arithmetic number, because the mean of its divisors is an integer number (516104244744).

Almost surely, 211986937295120 is an apocalyptic number.

11986937295120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11986937295120 is an abundant number, since it is smaller than the sum of its proper divisors (29301402284400).

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

11986937295120 is a wasteful number, since it uses less digits than its factorization.

11986937295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549508029 (or 5549508017 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 11986937295120 in words is "eleven trillion, nine hundred eighty-six billion, nine hundred thirty-seven million, two hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5549508007 11099016014 16648524021 22198032028 27747540035 33297048042 44396064056 49945572063 55495080070 66594096084 83242620105 88792128112 99891144126 110990160140 133188192168 149836716189 166485240210 199782288252 221980320280 249727860315 266376384336 299673432378 332970480420 399564576504 443960640560 499455720630 599346864756 665940960840 749183580945 799129153008 998911441260 1198693729512 1331881921680 1498367161890 1997822882520 2397387459024 2996734323780 3995645765040 5993468647560 11986937295120