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66254016 = 2632331481
BaseRepresentation
bin1111110010111…
…1010011000000
311121200001102110
43330233103000
5113430112031
610324015320
71433102253
oct374572300
9147601373
1066254016
1134442694
121a231540
131095977a
148b2909a
155c3ac46
hex3f2f4c0

66254016 has 56 divisors (see below), whose sum is σ = 176168304. Its totient is φ = 21975040.

The previous prime is 66253963. The next prime is 66254057. The reversal of 66254016 is 61045266.

66254016 = T283 + T284 + ... + T748.

It is a super-2 number, since 2×662540162 = 8779189272256512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43996 + ... + 45476.

Almost surely, 266254016 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 66254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88084152).

66254016 is an abundant number, since it is smaller than the sum of its proper divisors (109914288).

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

66254016 is a wasteful number, since it uses less digits than its factorization.

66254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66254016 is about 8139.6569952302. The cubic root of 66254016 is about 404.6417927070.

The spelling of 66254016 in words is "sixty-six million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1481 1864 2796 2962 3728 4443 5592 5924 7456 8886 11184 11848 14912 17772 22368 23696 35544 44736 47392 71088 94784 142176 284352 345073 690146 1035219 1380292 2070438 2760584 4140876 5521168 8281752 11042336 16563504 22084672 33127008 66254016