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66379950 = 232527131621
BaseRepresentation
bin1111110100111…
…0000010101110
311121220110011200
43331032002232
5113443124300
610330430330
71434135360
oct375160256
9147813150
1066379950
113451926a
121a2923a6
13109a1ba0
148b5cd30
155c63200
hex3f4e0ae

66379950 has 144 divisors (see below), whose sum is σ = 219631776. Its totient is φ = 13996800.

The previous prime is 66379921. The next prime is 66379969. The reversal of 66379950 is 5997366.

66379950 is a `hidden beast` number, since 6 + 637 + 9 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 66379896 and 66379905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40140 + ... + 41760.

Almost surely, 266379950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66379950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109815888).

66379950 is an abundant number, since it is smaller than the sum of its proper divisors (153251826).

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

66379950 is a wasteful number, since it uses less digits than its factorization.

66379950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 66379950 is about 8147.3891523604. The cubic root of 66379950 is about 404.8980081537.

The spelling of 66379950 in words is "sixty-six million, three hundred seventy-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1050 1170 1365 1575 1621 1638 1950 2275 2730 2925 3150 3242 4095 4550 4863 5850 6825 8105 8190 9726 11347 13650 14589 16210 20475 21073 22694 24315 29178 34041 40525 40950 42146 48630 56735 63219 68082 72945 81050 102123 105365 113470 121575 126438 145890 147511 170205 189657 204246 210730 243150 283675 295022 316095 340410 364725 379314 442533 510615 526825 567350 632190 729450 737555 851025 885066 948285 1021230 1053650 1327599 1475110 1580475 1702050 1896570 2212665 2553075 2655198 3160950 3687775 4425330 4741425 5106150 6637995 7375550 9482850 11063325 13275990 22126650 33189975 66379950