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66378096 = 2433198087
BaseRepresentation
bin1111110100110…
…1100101110000
311121220100122000
43331031211300
5113443044341
610330414000
71434130101
oct375154560
9147810560
1066378096
1134517934
121a291300
13109a10a5
148b5c3a8
155c628b6
hex3f4d970

66378096 has 80 divisors (see below), whose sum is σ = 200582400. Its totient is φ = 20958912.

The previous prime is 66378089. The next prime is 66378107. The reversal of 66378096 is 69087366.

66378096 is a `hidden beast` number, since 6 + 637 + 8 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (2507280).

Almost surely, 266378096 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 66378096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100291200).

66378096 is an abundant number, since it is smaller than the sum of its proper divisors (134204304).

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

66378096 is a wasteful number, since it uses less digits than its factorization.

66378096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 66378096 is about 8147.2753727857. The cubic root of 66378096 is about 404.8942385019.

The spelling of 66378096 in words is "sixty-six million, three hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8087 8208 16174 24261 32348 48522 64696 72783 97044 129392 145566 153653 194088 218349 291132 307306 388176 436698 460959 582264 614612 873396 921918 1164528 1229224 1382877 1746792 1843836 2458448 2765754 3493584 3687672 4148631 5531508 7375344 8297262 11063016 16594524 22126032 33189048 66378096