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66726672 = 24373137139
BaseRepresentation
bin1111111010001…
…0101100010000
311122120001210020
43332202230100
5114040223142
610342103440
71440111255
oct376425420
9148501706
1066726672
1134735811
121a41ab80
1310a9394c
148c0d42c
155cd0cec
hex3fa2b10

66726672 has 80 divisors (see below), whose sum is σ = 177280320. Its totient is φ = 21620736.

The previous prime is 66726661. The next prime is 66726677. The reversal of 66726672 is 27662766.

66726672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66726677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479979 + ... + 480117.

It is an arithmetic number, because the mean of its divisors is an integer number (2216004).

Almost surely, 266726672 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 66726672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640160).

66726672 is an abundant number, since it is smaller than the sum of its proper divisors (110553648).

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

66726672 is a wasteful number, since it uses less digits than its factorization.

66726672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 66726672 is about 8168.6395440122. The cubic root of 66726672 is about 405.6017514095.

The spelling of 66726672 in words is "sixty-six million, seven hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 137 139 146 219 274 278 292 411 417 438 548 556 584 822 834 876 1096 1112 1168 1644 1668 1752 2192 2224 3288 3336 3504 6576 6672 10001 10147 19043 20002 20294 30003 30441 38086 40004 40588 57129 60006 60882 76172 80008 81176 114258 120012 121764 152344 160016 162352 228516 240024 243528 304688 457032 480048 487056 914064 1390139 2780278 4170417 5560556 8340834 11121112 16681668 22242224 33363336 66726672