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66789216 = 25321317839
BaseRepresentation
bin1111111011000…
…1111101100000
311122200020120200
43332301331200
5114044223331
610343305200
71440461514
oct376617540
9148606520
1066789216
11347787aa
121a44b200
1310ab6260
148c28144
155ce45e6
hex3fb1f60

66789216 has 72 divisors (see below), whose sum is σ = 204553440. Its totient is φ = 20549376.

The previous prime is 66789197. The next prime is 66789223. The reversal of 66789216 is 61298766.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5176 + ... + 12663.

It is an arithmetic number, because the mean of its divisors is an integer number (2841020).

Almost surely, 266789216 is an apocalyptic number.

It is an amenable number.

66789216 is an abundant number, since it is smaller than the sum of its proper divisors (137764224).

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

66789216 is a wasteful number, since it uses less digits than its factorization.

66789216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17857 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 66789216 is about 8172.4669470118. The cubic root of 66789216 is about 405.7284375525.

The spelling of 66789216 in words is "sixty-six million, seven hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 17839 35678 53517 71356 107034 142712 160551 214068 231907 285424 321102 428136 463814 570848 642204 695721 856272 927628 1284408 1391442 1712544 1855256 2087163 2568816 2782884 3710512 4174326 5137632 5565768 7421024 8348652 11131536 16697304 22263072 33394608 66789216