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12320656434416 = 2411321115431777
BaseRepresentation
bin1011001101001010000001…
…0110011010010011110000
31121121211202201201201112002
42303102200112122103300
53103330201021400131
642112010442153132
72411065231514621
oct263224026322360
947554681651462
1012320656434416
113a201853a4000
12146b9aaab27a8
136b4aa9bc0a45
1430847427da48
1516574dcb46cb
hexb34a059a4f0

12320656434416 has 160 divisors (see below), whose sum is σ = 26412997126656. Its totient is φ = 5567009817600.

The previous prime is 12320656434349. The next prime is 12320656434473. The reversal of 12320656434416 is 61443465602321.

It is a super-2 number, since 2×123206564344162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6933401720 + ... + 6933403496.

Almost surely, 212320656434416 is an apocalyptic number.

12320656434416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320656434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206498563328).

12320656434416 is an abundant number, since it is smaller than the sum of its proper divisors (14092340692240).

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

12320656434416 is a wasteful number, since it uses less digits than its factorization.

12320656434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 12320656434416 in words is "twelve trillion, three hundred twenty billion, six hundred fifty-six million, four hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 211 242 422 484 844 968 1331 1543 1688 1777 1936 2321 2662 3086 3376 3554 4642 5324 6172 7108 9284 10648 12344 14216 16973 18568 19547 21296 24688 25531 28432 33946 37136 39094 51062 67892 78188 102124 135784 156376 186703 204248 215017 271568 280841 312752 325573 373406 374947 408496 430034 561682 651146 746812 749894 860068 1123364 1302292 1493624 1499788 1720136 2053733 2246728 2365187 2604584 2741911 2987248 2999576 3440272 3581303 4107466 4124417 4493456 4730374 5209168 5483822 5999152 7162606 8214932 8248834 9460748 10967644 14325212 16429864 16497668 18921496 21935288 28650424 30161021 32859728 32995336 37842992 39394333 43870576 45368587 57300848 60322042 65990672 78788666 90737174 120644084 157577332 181474348 241288168 315154664 331771231 362948696 433337663 482576336 499054457 578543221 630309328 663542462 725897392 866675326 998108914 1157086442 1327084924 1733350652 1996217828 2314172884 2654169848 3466701304 3649483541 3992435656 4628345768 5308339696 6363975431 6933402608 7298967082 7984871312 9256691536 12727950862 14597934164 25455901724 29195868328 50911803448 58391736656 70003729741 101823606896 140007459482 280014918964 560029837928 770041027151 1120059675856 1540082054302 3080164108604 6160328217208 12320656434416