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12717006715764 = 22331323393812917
BaseRepresentation
bin1011100100001110100010…
…1010101111101101110100
31200000201211001201011202000
42321003220222233231310
53131323412204401024
643014040124215300
72451526165360521
oct271035052575564
950021731634660
1012717006715764
11406328583979a
12151478399a530
13713293361940
1431d713830148
15170bea079cc9
hexb90e8aafb74

12717006715764 has 96 divisors (see below), whose sum is σ = 37049919325440. Its totient is φ = 3742797953664.

The previous prime is 12717006715711. The next prime is 12717006715769. The reversal of 12717006715764 is 46751760071721.

12717006715764 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 7 + 0 + 0 + 67 + 1 + 576 + 4 = 666.

It is a super-2 number, since 2×127170067157642 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12717006715764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12717006715769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196874167 + ... + 196938750.

It is an arithmetic number, because the mean of its divisors is an integer number (385936659640).

Almost surely, 212717006715764 is an apocalyptic number.

It is an amenable number.

12717006715764 is an abundant number, since it is smaller than the sum of its proper divisors (24332912609676).

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

12717006715764 is a wasteful number, since it uses less digits than its factorization.

12717006715764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393812966 (or 393812958 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 12717006715764 in words is "twelve trillion, seven hundred seventeen billion, six million, seven hundred fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 393812917 787625834 1181438751 1575251668 2362877502 3544316253 4725755004 5119567921 7088632506 9057697091 10239135842 10632948759 14177265012 15358703763 18115394182 20478271684 21265897518 27173091273 30717407526 36230788364 42531795036 46076111289 54346182546 61434815052 81519273819 92152222578 108692365092 117750062183 138228333867 163038547638 184304445156 235500124366 244557821457 276456667734 326077095276 353250186549 471000248732 489115642914 552913335468 706500373098 978231285828 1059750559647 1413000746196 2119501119294 3179251678941 4239002238588 6358503357882 12717006715764