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12963946820040 = 2333562627191669
BaseRepresentation
bin1011110010100110011101…
…1100011111000111001000
31200220100012202002020001000
42330221213130133013020
53144400130341220130
643323315511455000
72505420454543506
oct274514734370710
950810182066030
1012963946820040
114148a85012aa7
1215545bb687460
137306584c7938
1432b65bac7676
1517734e41d260
hexbca6771f1c8

12963946820040 has 128 divisors (see below), whose sum is σ = 43214071536000. Its totient is φ = 3456979248384.

The previous prime is 12963946819979. The next prime is 12963946820059. The reversal of 12963946820040 is 4002864936921.

12963946820040 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 394 + 6 + 8 + 200 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67541326 + ... + 67732994.

It is an arithmetic number, because the mean of its divisors is an integer number (337609933875).

Almost surely, 212963946820040 is an apocalyptic number.

12963946820040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12963946820040 is an abundant number, since it is smaller than the sum of its proper divisors (30250124715960).

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

12963946820040 is a wasteful number, since it uses less digits than its factorization.

12963946820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254316 (or 254306 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 12963946820040 in words is "twelve trillion, nine hundred sixty-three billion, nine hundred forty-six million, eight hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 62627 125254 187881 191669 250508 313135 375762 383338 501016 563643 575007 626270 751524 766676 939405 958345 1127286 1150014 1252540 1503048 1533352 1690929 1725021 1878810 1916690 2254572 2300028 2505080 2818215 2875035 3381858 3450042 3757620 3833380 4509144 4600056 5175063 5636430 5750070 6763716 6900084 7515240 7666760 8454645 8625105 10350126 11272860 11500140 13527432 13800168 16909290 17250210 20700252 22545720 23000280 25875315 33818580 34500420 41400504 51750630 67637160 69000840 103501260 207002520 12003654463 24007308926 36010963389 48014617852 60018272315 72021926778 96029235704 108032890167 120036544630 144043853556 180054816945 216065780334 240073089260 288087707112 324098670501 360109633890 432131560668 480146178520 540164450835 648197341002 720219267780 864263121336 1080328901670 1296394682004 1440438535560 1620493352505 2160657803340 2592789364008 3240986705010 4321315606680 6481973410020 12963946820040