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12816412790925 = 3523141160983561
BaseRepresentation
bin1011101010000000110110…
…1110110101000010001101
31200101020101211210000021110
42322200031232311002031
53134441003133302200
643131440113322233
72461645441151652
oct272401556650215
950336354700243
1012816412790925
1140a1456996317
12152baa6866379
1371c775ac1a63
14324463a49c29
151735b7096b50
hexba80dbb508d

12816412790925 has 96 divisors (see below), whose sum is σ = 22421034961920. Its totient is φ = 6449495040000.

The previous prime is 12816412790911. The next prime is 12816412790933. The reversal of 12816412790925 is 52909721461821.

It is a happy number.

It is not a de Polignac number, because 12816412790925 - 211 = 12816412788877 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153336145 + ... + 153419705.

It is an arithmetic number, because the mean of its divisors is an integer number (233552447520).

Almost surely, 212816412790925 is an apocalyptic number.

12816412790925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12816412790925 is a deficient number, since it is larger than the sum of its proper divisors (9604622170995).

12816412790925 is a wasteful number, since it uses less digits than its factorization.

12816412790925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85255 (or 85250 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 12816412790925 in words is "twelve trillion, eight hundred sixteen billion, four hundred twelve million, seven hundred ninety thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 25 31 41 75 93 123 155 205 465 615 775 1025 1271 1609 2325 3075 3813 4827 6355 8045 19065 24135 31775 40225 49879 65969 83561 95325 120675 149637 197907 249395 250683 329845 417805 748185 989535 1246975 1253415 1649225 2045039 2089025 2590391 3426001 3740925 4947675 6135117 6267075 7771173 10225195 10278003 12951955 17130005 30675585 38855865 51125975 51390015 64759775 85650025 106206031 134449649 153377925 194279325 256950075 318618093 403348947 531030155 672248245 1593090465 2016744735 2655150775 3361241225 4167939119 5512435609 7965452325 10083723675 12503817357 16537306827 20839695595 27562178045 62519086785 82686534135 104198477975 137810890225 170885503879 312595433925 413432670675 512656511637 854427519395 2563282558185 4272137596975 12816412790925