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66064050 = 232521323491
BaseRepresentation
bin1111110000000…
…0111010110010
311121022101211200
43330000322302
5113403022200
610315552030
71431351363
oct374007262
9147271750
1066064050
1134322998
121a15b616
13108c1170
148ab9b6a
155bee800
hex3f00eb2

66064050 has 144 divisors (see below), whose sum is σ = 199862208. Its totient is φ = 15523200.

The previous prime is 66064049. The next prime is 66064087. The reversal of 66064050 is 5046066.

66064050 is a `hidden beast` number, since 6 + 606 + 4 + 0 + 50 = 666.

66064050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134305 + ... + 134795.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 266064050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66064050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99931104).

66064050 is an abundant number, since it is smaller than the sum of its proper divisors (133798158).

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

66064050 is a wasteful number, since it uses less digits than its factorization.

66064050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66064050 is about 8127.9794537142. The cubic root of 66064050 is about 404.2546877881.

The spelling of 66064050 in words is "sixty-six million, sixty-four thousand, fifty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 23 25 26 30 39 45 46 50 65 69 75 78 90 115 117 130 138 150 195 207 225 230 234 299 325 345 390 414 450 491 575 585 598 650 690 897 975 982 1035 1150 1170 1473 1495 1725 1794 1950 2070 2455 2691 2925 2946 2990 3450 4419 4485 4910 5175 5382 5850 6383 7365 7475 8838 8970 10350 11293 12275 12766 13455 14730 14950 19149 22095 22425 22586 24550 26910 31915 33879 36825 38298 44190 44850 56465 57447 63830 67275 67758 73650 95745 101637 110475 112930 114894 134550 146809 159575 169395 191490 203274 220950 282325 287235 293618 319150 338790 440427 478725 508185 564650 574470 734045 846975 880854 957450 1016370 1321281 1436175 1468090 1693950 2202135 2540925 2642562 2872350 3670225 4404270 5081850 6606405 7340450 11010675 13212810 22021350 33032025 66064050