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66021568 = 2631107311
BaseRepresentation
bin1111101111011…
…0100011000000
311121020020120021
43323312203000
5113400142233
610315023224
71431113464
oct373664300
9147206507
1066021568
11342a3a88
121a13ab14
13108a7a22
148aa84a4
155be1e2d
hex3ef68c0

66021568 has 56 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 31545600.

The previous prime is 66021563. The next prime is 66021583. The reversal of 66021568 is 86512066.

It is a super-3 number, since 3×660215683 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66021563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212133 + ... + 212443.

Almost surely, 266021568 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 66021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

66021568 is an abundant number, since it is smaller than the sum of its proper divisors (70918976).

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

66021568 is a wasteful number, since it uses less digits than its factorization.

66021568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 66021568 is about 8125.3657148463. The cubic root of 66021568 is about 404.1680182097.

The spelling of 66021568 in words is "sixty-six million, twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 214 248 311 428 496 622 856 992 1244 1712 1984 2488 3317 3424 4976 6634 6848 9641 9952 13268 19282 19904 26536 33277 38564 53072 66554 77128 106144 133108 154256 212288 266216 308512 532432 617024 1031587 1064864 2063174 2129728 4126348 8252696 16505392 33010784 66021568