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66514608 = 2434173019
BaseRepresentation
bin1111110110111…
…0111010110000
311122011021220000
43331232322300
5114011431413
610333350000
71435236066
oct375567260
9148137800
1066514608
1134600456
121a338300
1310a1b274
148b96036
155c8d073
hex3f6eeb0

66514608 has 100 divisors (see below), whose sum is σ = 203904360. Its totient is φ = 20860416.

The previous prime is 66514601. The next prime is 66514627. The reversal of 66514608 is 80641566.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66514601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20523 + ... + 23541.

Almost surely, 266514608 is an apocalyptic number.

66514608 is a gapful number since it is divisible by the number (68) 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 66514608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101952180).

66514608 is an abundant number, since it is smaller than the sum of its proper divisors (137389752).

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

66514608 is a wasteful number, since it uses less digits than its factorization.

66514608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66514608 is about 8155.6488399146. The cubic root of 66514608 is about 405.1716145127.

The spelling of 66514608 in words is "sixty-six million, five hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3019 3672 5508 6038 7344 9057 11016 12076 18114 22032 24152 27171 36228 48304 51323 54342 72456 81513 102646 108684 144912 153969 163026 205292 217368 244539 307938 326052 410584 434736 461907 489078 615876 652104 821168 923814 978156 1231752 1304208 1385721 1847628 1956312 2463504 2771442 3695256 3912624 4157163 5542884 7390512 8314326 11085768 16628652 22171536 33257304 66514608