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12195713712 = 2437134168099
BaseRepresentation
bin10110101101110101…
…11101001010110000
31011110221101110002110
423112322331022300
5144434100314322
65334100245320
7611135566440
oct132672751260
934427343073
1012195713712
115199187246
1224443a0840
1311c487ab60
14839a06120
154b5a2ec0c
hex2d6ebd2b0

12195713712 has 160 divisors (see below), whose sum is σ = 39722457600. Its totient is φ = 3137955840.

The previous prime is 12195713669. The next prime is 12195713773. The reversal of 12195713712 is 21731759121.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 145039 + ... + 213137.

It is an arithmetic number, because the mean of its divisors is an integer number (248265360).

Almost surely, 212195713712 is an apocalyptic number.

12195713712 is a gapful number since it is divisible by the number (12) 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 12195713712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861228800).

12195713712 is an abundant number, since it is smaller than the sum of its proper divisors (27526743888).

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

12195713712 is a wasteful number, since it uses less digits than its factorization.

12195713712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68171 (or 68165 counting only the distinct ones).

The product of its digits is 26460, while the sum is 39.

The spelling of 12195713712 in words is "twelve billion, one hundred ninety-five million, seven hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1456 1599 1722 1968 2132 2184 2296 3198 3444 3731 4264 4368 4592 6396 6888 7462 8528 11193 12792 13776 14924 22386 25584 29848 44772 59696 68099 89544 136198 179088 204297 272396 408594 476693 544792 817188 885287 953386 1089584 1430079 1634376 1770574 1906772 2655861 2792059 2860158 3268752 3541148 3813544 5311722 5584118 5720316 6197009 7082296 7627088 8376177 10623444 11168236 11440632 12394018 14164592 16752354 18591027 19544413 21246888 22336472 22881264 24788036 33504708 36296767 37182054 39088826 42493776 44672944 49576072 58633239 67009416 72593534 74364108 78177652 99152144 108890301 117266478 134018832 145187068 148728216 156355304 217780602 234532956 254077369 290374136 297456432 312710608 435561204 469065912 508154738 580748272 762232107 871122408 938131824 1016309476 1524464214 1742244816 2032618952 3048928428 4065237904 6097856856 12195713712