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66101064 = 23361163277
BaseRepresentation
bin1111110000100…
…1111101001000
311121101021121120
43330021331020
5113410213224
610320435240
71431564321
oct374117510
9147337546
1066101064
1134348787
121a178b20
1310904c73
148ac9448
155c0a779
hex3f09f48

66101064 has 64 divisors (see below), whose sum is σ = 169602240. Its totient is φ = 21461760.

The previous prime is 66101059. The next prime is 66101107. The reversal of 66101064 is 46010166.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 238494 + ... + 238770.

It is an arithmetic number, because the mean of its divisors is an integer number (2650035).

Almost surely, 266101064 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 66101064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84801120).

66101064 is an abundant number, since it is smaller than the sum of its proper divisors (103501176).

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

66101064 is a wasteful number, since it uses less digits than its factorization.

66101064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66101064 is about 8130.2560845277. The cubic root of 66101064 is about 404.3301715517.

The spelling of 66101064 in words is "sixty-six million, one hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 163 183 244 277 326 366 488 489 554 652 732 831 978 1108 1304 1464 1662 1956 2216 3324 3912 6648 9943 16897 19886 29829 33794 39772 45151 50691 59658 67588 79544 90302 101382 119316 135176 135453 180604 202764 238632 270906 361208 405528 541812 1083624 2754211 5508422 8262633 11016844 16525266 22033688 33050532 66101064