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66836016 = 2434133967
BaseRepresentation
bin1111111011110…
…1011000110000
311122202121210000
43332331120300
5114102223031
610344310000
71441045122
oct376753060
9148677700
1066836016
11347aa985
121a472300
1310b01650
148c3b212
155d033e6
hex3fbd630

66836016 has 100 divisors (see below), whose sum is σ = 208375552. Its totient is φ = 20559744.

The previous prime is 66835987. The next prime is 66836041. The reversal of 66836016 is 61063866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14865 + ... + 18831.

Almost surely, 266836016 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 66836016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104187776).

66836016 is an abundant number, since it is smaller than the sum of its proper divisors (141539536).

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

66836016 is a wasteful number, since it uses less digits than its factorization.

66836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66836016 is about 8175.3297181215. The cubic root of 66836016 is about 405.8231816777.

The spelling of 66836016 in words is "sixty-six million, eight hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 3967 4212 5616 7934 8424 11901 15868 16848 23802 31736 35703 47604 51571 63472 71406 95208 103142 107109 142812 154713 190416 206284 214218 285624 309426 321327 412568 428436 464139 571248 618852 642654 825136 856872 928278 1237704 1285308 1392417 1713744 1856556 2475408 2570616 2784834 3713112 4177251 5141232 5569668 7426224 8354502 11139336 16709004 22278672 33418008 66836016