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66168024 = 233132971103
BaseRepresentation
bin1111110001101…
…0010011011000
311121111200110120
43330122103120
5113414334044
610322113240
71432263456
oct374322330
9147450416
1066168024
113439401a
121a1ab820
13109295a0
148b059d6
155c20519
hex3f1a4d8

66168024 has 128 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 19192320.

The previous prime is 66168019. The next prime is 66168041. The reversal of 66168024 is 42086166.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642357 + ... + 642459.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 266168024 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 66168024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

66168024 is an abundant number, since it is smaller than the sum of its proper divisors (122529576).

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

66168024 is a wasteful number, since it uses less digits than its factorization.

66168024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66168024 is about 8134.3729936609. The cubic root of 66168024 is about 404.4666535278.

The spelling of 66168024 in words is "sixty-six million, one hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 71 78 87 103 104 116 142 156 174 206 213 232 284 309 312 348 377 412 426 568 618 696 754 824 852 923 1131 1236 1339 1508 1704 1846 2059 2262 2472 2678 2769 2987 3016 3692 4017 4118 4524 5356 5538 5974 6177 7313 7384 8034 8236 8961 9048 10712 11076 11948 12354 14626 16068 16472 17922 21939 22152 23896 24708 26767 29252 32136 35844 38831 43878 49416 53534 58504 71688 77662 80301 87756 95069 107068 116493 155324 160602 175512 190138 212077 214136 232986 285207 310648 321204 380276 424154 465972 570414 636231 642408 760552 848308 931944 1140828 1272462 1696616 2281656 2544924 2757001 5089848 5514002 8271003 11028004 16542006 22056008 33084012 66168024