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66277064 = 23729371103
BaseRepresentation
bin1111110011010…
…0111011001000
311121201020001002
43330310323020
5113431331224
610324314132
71433226410
oct374647310
9147636032
1066277064
1134458a37
121a242948
13109670c9
148b33640
155c429ae
hex3f34ec8

66277064 has 64 divisors (see below), whose sum is σ = 151027200. Its totient is φ = 26659584.

The previous prime is 66277037. The next prime is 66277069. The reversal of 66277064 is 46077266.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66277069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59537 + ... + 60639.

It is an arithmetic number, because the mean of its divisors is an integer number (2359800).

Almost surely, 266277064 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 66277064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513600).

66277064 is an abundant number, since it is smaller than the sum of its proper divisors (84750136).

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

66277064 is a wasteful number, since it uses less digits than its factorization.

66277064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 66277064 is about 8141.0726565975. The cubic root of 66277064 is about 404.6887086193.

The spelling of 66277064 in words is "sixty-six million, two hundred seventy-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 37 56 58 74 116 148 203 232 259 296 406 518 812 1036 1073 1103 1624 2072 2146 2206 4292 4412 7511 7721 8584 8824 15022 15442 30044 30884 31987 40811 60088 61768 63974 81622 127948 163244 223909 255896 285677 326488 447818 571354 895636 1142708 1183519 1791272 2285416 2367038 4734076 8284633 9468152 16569266 33138532 66277064