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66463656 = 23371013917
BaseRepresentation
bin1111110110001…
…0011110101000
311122001200222220
43331202132220
5114003314111
610332314040
71434634410
oct375423650
9148050886
1066463656
1134576146
121a312920
1310a0100c
148b81640
155c7ce06
hex3f627a8

66463656 has 64 divisors (see below), whose sum is σ = 191825280. Its totient is φ = 18796800.

The previous prime is 66463651. The next prime is 66463669. The reversal of 66463656 is 65636466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66463651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15010 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (2997270).

Almost surely, 266463656 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 66463656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95912640).

66463656 is an abundant number, since it is smaller than the sum of its proper divisors (125361624).

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

66463656 is a wasteful number, since it uses less digits than its factorization.

66463656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4030 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 66463656 is about 8152.5245169825. The cubic root of 66463656 is about 405.0681305897.

The spelling of 66463656 in words is "sixty-six million, four hundred sixty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 3917 4242 5656 7834 8484 11751 15668 16968 23502 27419 31336 47004 54838 82257 94008 109676 164514 219352 329028 395617 658056 791234 1186851 1582468 2373702 2769319 3164936 4747404 5538638 8307957 9494808 11077276 16615914 22154552 33231828 66463656