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66502016 = 277223461
BaseRepresentation
bin1111110110101…
…1110110000000
311122010122121122
43331223312000
5114011031031
610333211412
71435154300
oct375536600
9148118548
1066502016
11345a1a49
121a330b68
1310a15609
148b91600
155c8947b
hex3f6bd80

66502016 has 96 divisors (see below), whose sum is σ = 161164080. Its totient is φ = 27202560.

The previous prime is 66502013. The next prime is 66502031. The reversal of 66502016 is 61020566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66502013) 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, 144026 + ... + 144486.

Almost surely, 266502016 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 66502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582040).

66502016 is an abundant number, since it is smaller than the sum of its proper divisors (94662064).

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

66502016 is a wasteful number, since it uses less digits than its factorization.

66502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 66502016 is about 8154.8768231041. The cubic root of 66502016 is about 405.1460449769.

The spelling of 66502016 in words is "sixty-six million, five hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 322 368 392 448 461 644 736 784 896 922 1127 1288 1472 1568 1844 2254 2576 2944 3136 3227 3688 4508 5152 6272 6454 7376 9016 10304 10603 12908 14752 18032 20608 21206 22589 25816 29504 36064 42412 45178 51632 59008 72128 74221 84824 90356 103264 144256 148442 169648 180712 206528 296884 339296 361424 413056 519547 593768 678592 722848 1039094 1187536 1357184 1445696 2078188 2375072 2891392 4156376 4750144 8312752 9500288 16625504 33251008 66502016