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66756248250 = 23531912736887
BaseRepresentation
bin111110001010111110…
…111000001010111010
320101022100122202222220
4332022332320022322
52043204044421000
650400054024510
74552165514316
oct761276701272
9211270582886
1066756248250
11263471863aa
1210b30648136
1363ab3ca713
143333cbcb46
151b0a96e1a0
hexf8afb82ba

66756248250 has 128 divisors (see below), whose sum is σ = 176779100160. Its totient is φ = 16731489600.

The previous prime is 66756248239. The next prime is 66756248309. The reversal of 66756248250 is 5284265766.

It is a junction number, because it is equal to n+sod(n) for n = 66756248193 and 66756248202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1791307 + ... + 1828193.

It is an arithmetic number, because the mean of its divisors is an integer number (1381086720).

Almost surely, 266756248250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66756248250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88389550080).

66756248250 is an abundant number, since it is smaller than the sum of its proper divisors (110022851910).

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

66756248250 is a wasteful number, since it uses less digits than its factorization.

66756248250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37053 (or 37043 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 66756248250 in words is "sixty-six billion, seven hundred fifty-six million, two hundred forty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 127 150 190 250 254 285 375 381 475 570 635 750 762 950 1270 1425 1905 2375 2413 2850 3175 3810 4750 4826 6350 7125 7239 9525 12065 14250 14478 15875 19050 24130 31750 36195 36887 47625 60325 72390 73774 95250 110661 120650 180975 184435 221322 301625 361950 368870 553305 603250 700853 904875 922175 1106610 1401706 1809750 1844350 2102559 2766525 3504265 4205118 4610875 4684649 5533050 7008530 9221750 9369298 10512795 13832625 14053947 17521325 21025590 23423245 27665250 28107894 35042650 46846490 52563975 70269735 87606625 89008331 105127950 117116225 140539470 175213250 178016662 234232450 262819875 267024993 351348675 445041655 525639750 534049986 585581125 702697350 890083310 1171162250 1335124965 1756743375 2225208275 2670249930 3513486750 4450416550 6675624825 11126041375 13351249650 22252082750 33378124125 66756248250