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66396512 = 257131512
BaseRepresentation
bin1111110101001…
…0000101100000
311121221021220002
43331102011200
5113444142022
610331035132
71434234560
oct375220540
9147837802
1066396512
113452a756
121a29baa8
13109a95a0
148b64da0
155c68092
hex3f52160

66396512 has 72 divisors (see below), whose sum is σ = 161956368. Its totient is φ = 26092800.

The previous prime is 66396511. The next prime is 66396541. The reversal of 66396512 is 21569366.

It is a super-2 number, since 2×663965122 = 8816993611532288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66396511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439637 + ... + 439787.

It is an arithmetic number, because the mean of its divisors is an integer number (2249394).

Almost surely, 266396512 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 66396512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80978184).

66396512 is an abundant number, since it is smaller than the sum of its proper divisors (95559856).

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

66396512 is a wasteful number, since it uses less digits than its factorization.

66396512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 173 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 66396512 is about 8148.4054881922. The cubic root of 66396512 is about 404.9316797828.

The spelling of 66396512 in words is "sixty-six million, three hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 151 182 208 224 302 364 416 604 728 1057 1208 1456 1963 2114 2416 2912 3926 4228 4832 7852 8456 13741 15704 16912 22801 27482 31408 33824 45602 54964 62816 91204 109928 159607 182408 219856 296413 319214 364816 439712 592826 638428 729632 1185652 1276856 2074891 2371304 2553712 4149782 4742608 5107424 8299564 9485216 16599128 33198256 66396512