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12641116140 = 22325312265433
BaseRepresentation
bin10111100010111100…
…00001111111101100
31012121222111020100200
423301132001333230
5201342111204030
65450210553500
7625154500002
oct136136017754
935558436320
1012641116140
1153a7642724
122549598890
131265c27ca3
1487cc28a72
154debb0d60
hex2f1781fec

12641116140 has 72 divisors (see below), whose sum is σ = 39581662848. Its totient is φ = 3262222080.

The previous prime is 12641116127. The next prime is 12641116183. The reversal of 12641116140 is 4161114621.

12641116140 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 1 + 1 + 614 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127137 + ... + 1138296.

Almost surely, 212641116140 is an apocalyptic number.

12641116140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641116140 is an abundant number, since it is smaller than the sum of its proper divisors (26940546708).

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

12641116140 is a wasteful number, since it uses less digits than its factorization.

12641116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265479 (or 2265474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12641116140 in words is "twelve billion, six hundred forty-one million, one hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2265433 4530866 6796299 9061732 11327165 13592598 20388897 22654330 27185196 33981495 40777794 45308660 67962990 70228423 81555588 101944485 135925980 140456846 203888970 210685269 280913692 351142115 407777940 421370538 632055807 702284230 842741076 1053426345 1264111614 1404568460 2106852690 2528223228 3160279035 4213705380 6320558070 12641116140