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12978845460 = 2234571144519
BaseRepresentation
bin11000001011001100…
…10111011100010100
31020111111222122220000
430011212113130110
5203040041023320
65543513411300
7636425236410
oct140546273424
936444878800
1012978845460
115560246769
122622709b30
1312baba5c19
148b1a1dd40
1550e673c90
hex305997714

12978845460 has 120 divisors (see below), whose sum is σ = 46531605120. Its totient is φ = 2966590656.

The previous prime is 12978845443. The next prime is 12978845501. The reversal of 12978845460 is 6454887921.

It is a happy number.

12978845460 is a `hidden beast` number, since 1 + 2 + 97 + 8 + 8 + 4 + 546 + 0 = 666.

It is a super-2 number, since 2×129788454602 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12978845397 and 12978845406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560920 + ... + 583599.

It is an arithmetic number, because the mean of its divisors is an integer number (387763376).

Almost surely, 212978845460 is an apocalyptic number.

12978845460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12978845460 is an abundant number, since it is smaller than the sum of its proper divisors (33552759660).

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

12978845460 is a wasteful number, since it uses less digits than its factorization.

12978845460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144547 (or 1144536 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12978845460 in words is "twelve billion, nine hundred seventy-eight million, eight hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 1144519 2289038 3433557 4578076 5722595 6867114 8011633 10300671 11445190 13734228 16023266 17167785 20601342 22890380 24034899 30902013 32046532 34335570 40058165 41202684 48069798 51503355 61804026 68671140 72104697 80116330 92706039 96139596 103006710 120174495 123608052 144209394 154510065 160232660 185412078 206013420 216314091 240348990 288418788 309020130 360523485 370824156 432628182 463530195 480697980 618040260 648942273 721046970 865256364 927060390 1081570455 1297884546 1442093940 1854120780 2163140910 2595769092 3244711365 4326281820 6489422730 12978845460