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66770568 = 23361072
BaseRepresentation
bin1111111010110…
…1011010001000
311122122022000000
43332231122020
5114043124233
610343043000
71440353244
oct376553210
9148568000
1066770568
1134765797
121a440460
1310aaa917
148c21424
155cddd13
hex3fad688

66770568 has 84 divisors (see below), whose sum is σ = 189477015. Its totient is φ = 22048848.

The previous prime is 66770567. The next prime is 66770581. The reversal of 66770568 is 86507766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 33385284 + 33385284 = 5778^2 + 5778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5778.

It is not an unprimeable number, because it can be changed into a prime (66770567) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 623971 + ... + 624077.

Almost surely, 266770568 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 66770568

66770568 is an abundant number, since it is smaller than the sum of its proper divisors (122706447).

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

66770568 is an equidigital number, since it uses as much as digits as its factorization.

66770568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66770568 is about 8171.3259633917. The cubic root of 66770568 is about 405.6906733313.

The spelling of 66770568 in words is "sixty-six million, seven hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 729 856 963 972 1284 1458 1926 1944 2568 2889 2916 3852 5778 5832 7704 8667 11449 11556 17334 22898 23112 26001 34347 34668 45796 52002 68694 69336 78003 91592 103041 104004 137388 156006 206082 208008 274776 309123 312012 412164 618246 624024 824328 927369 1236492 1854738 2472984 2782107 3709476 5564214 7418952 8346321 11128428 16692642 22256856 33385284 66770568