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12947373628308 = 22367634302059
BaseRepresentation
bin1011110001101000101110…
…0110110001101110010100
31200211202102201200212000000
42330122023212301232110
53144112210122101213
643311535154451300
72504262663000330
oct274321346615624
950752381625000
1012947373628308
114141a4a96a829
121551355293b30
1372bc16a71102
1432a92898a7c0
15176bce452c73
hexbc68b9b1b94

12947373628308 has 84 divisors (see below), whose sum is σ = 38824360488480. Its totient is φ = 3699249602256.

The previous prime is 12947373628279. The next prime is 12947373628309. The reversal of 12947373628308 is 80382637374921.

12947373628308 is a `hidden beast` number, since 1 + 2 + 9 + 473 + 73 + 62 + 8 + 30 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12947373628309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 317130618 + ... + 317171441.

It is an arithmetic number, because the mean of its divisors is an integer number (462194767720).

Almost surely, 212947373628308 is an apocalyptic number.

12947373628308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12947373628308 is an abundant number, since it is smaller than the sum of its proper divisors (25876986860172).

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

12947373628308 is an equidigital number, since it uses as much as digits as its factorization.

12947373628308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634302088 (or 634302071 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 12947373628308 in words is "twelve trillion, nine hundred forty-seven billion, three hundred seventy-three million, six hundred twenty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 634302059 1268604118 1902906177 2537208236 3805812354 4440114413 5708718531 7611624708 8880228826 11417437062 13320343239 17126155593 17760457652 22834874124 26640686478 34252311186 39961029717 51378466779 53281372956 68504622372 79922059434 102756933558 119883089151 154135400337 159844118868 205513867116 239766178302 308270800674 359649267453 462406201011 479532356604 616541601348 719298534906 924812402022 1078947802359 1438597069812 1849624804044 2157895604718 3236843407077 4315791209436 6473686814154 12947373628308