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66502128 = 24371119947
BaseRepresentation
bin1111110110101…
…1110111110000
311122010122202210
43331223313300
5114011032003
610333212120
71435154520
oct375536760
9148118683
1066502128
11345a2040
121a331040
1310a15694
148b91680
155c89503
hex3f6bdf0

66502128 has 160 divisors (see below), whose sum is σ = 225699840. Its totient is φ = 16346880.

The previous prime is 66502103. The next prime is 66502151. The reversal of 66502128 is 82120566.

It is a junction number, because it is equal to n+sod(n) for n = 66502095 and 66502104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69751 + ... + 70697.

It is an arithmetic number, because the mean of its divisors is an integer number (1410624).

Almost surely, 266502128 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 66502128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112849920).

66502128 is an abundant number, since it is smaller than the sum of its proper divisors (159197712).

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

66502128 is a wasteful number, since it uses less digits than its factorization.

66502128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 66502128 is about 8154.8836901577. The cubic root of 66502128 is about 405.1462724202.

It can be divided in two parts, 6650 and 2128, that added together give a palindrome (8778).

The spelling of 66502128 in words is "sixty-six million, five hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 947 1064 1232 1254 1463 1596 1672 1848 1894 2128 2508 2841 2926 3192 3344 3696 3788 4389 5016 5682 5852 6384 6629 7576 8778 10032 10417 11364 11704 13258 15152 17556 17993 19887 20834 22728 23408 26516 31251 35112 35986 39774 41668 45456 53032 53979 62502 70224 71972 72919 79548 83336 106064 107958 125004 125951 143944 145838 159096 166672 197923 215916 218757 250008 251902 287888 291676 318192 377853 395846 431832 437514 500016 503804 583352 593769 755706 791692 863664 875028 1007608 1166704 1187538 1385461 1511412 1583384 1750056 2015216 2375076 2770922 3022824 3166768 3500112 4156383 4750152 5541844 6045648 8312766 9500304 11083688 16625532 22167376 33251064 66502128