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66732506132768 = 25710327017107057
BaseRepresentation
bin11110010110001010111110…
…10100101011000100100000
322202021120021002110002211122
433023011133110223010200
532221321133032222033
6353532253510031412
720025156466022540
oct1713053724530440
9282246232402748
1066732506132768
111a299107aa9893
127599259348568
132b30b04a08cb8
141269c28a41320
157aaceb759a98
hex3cb15f52b120

66732506132768 has 96 divisors (see below), whose sum is σ = 151612915394304. Its totient is φ = 28320666181632.

The previous prime is 66732506132731. The next prime is 66732506132839. The reversal of 66732506132768 is 86723160523766.

It is a self number, because there is not a number n which added to its sum of digits gives 66732506132768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623282696 + ... + 623389752.

It is an arithmetic number, because the mean of its divisors is an integer number (1579301202024).

Almost surely, 266732506132768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66732506132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75806457697152).

66732506132768 is an abundant number, since it is smaller than the sum of its proper divisors (84880409261536).

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

66732506132768 is a wasteful number, since it uses less digits than its factorization.

66732506132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134194 (or 134186 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 62.

The spelling of 66732506132768 in words is "sixty-six trillion, seven hundred thirty-two billion, five hundred six million, one hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5768 11536 23072 27017 54034 107057 108068 189119 214114 216136 378238 428228 432272 749399 756476 856456 864544 1498798 1512952 1712912 2782751 2997596 3025904 3425824 5565502 5995192 6051808 11026871 11131004 11990384 19479257 22053742 22262008 23980768 38958514 44107484 44524016 77188097 77917028 88214968 89048032 154376194 155834056 176429936 308752388 311668112 352859872 617504776 623336224 1235009552 2470019104 2892358969 5784717938 11569435876 20246512783 23138871752 40493025566 46277743504 80986051132 92555487008 161972102264 297912973807 323944204528 595825947614 647888409056 1191651895228 2085390816649 2383303790456 4170781633298 4766607580912 8341563266596 9533215161824 16683126533192 33366253066384 66732506132768