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66008221050 = 235213112012797
BaseRepresentation
bin111101011110011001…
…011000010101111010
320022101020010001120210
4331132121120111322
52040141101033200
650153533131550
74524513423102
oct753631302572
9208336101523
1066008221050
1125aa2a13502
1210962029bb6
1362bc443b85
1432a2802202
151ab4e61650
hexf5e65857a

66008221050 has 96 divisors (see below), whose sum is σ = 165146376384. Its totient is φ = 17447040000.

The previous prime is 66008221033. The next prime is 66008221057. The reversal of 66008221050 is 5012280066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66008220999 and 66008221017.

It is not an unprimeable number, because it can be changed into a prime (66008221057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23598252 + ... + 23601048.

It is an arithmetic number, because the mean of its divisors is an integer number (1720274754).

Almost surely, 266008221050 is an apocalyptic number.

66008221050 is the 209775-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66008221050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82573188192).

66008221050 is an abundant number, since it is smaller than the sum of its proper divisors (99138155334).

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

66008221050 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (66008221049) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4144).

66008221050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4139 counting only the distinct ones).

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

The spelling of 66008221050 in words is "sixty-six billion, eight million, two hundred twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1201 1310 1965 2402 2797 3275 3603 3930 5594 6005 6550 7206 8391 9825 12010 13985 16782 18015 19650 27970 30025 36030 41955 60050 69925 83910 90075 139850 157331 180150 209775 314662 366407 419550 471993 732814 786655 943986 1099221 1573310 1832035 2198442 2359965 3359197 3664070 3933275 4719930 5496105 6718394 7866550 9160175 10077591 10992210 11799825 16795985 18320350 20155182 23599650 27480525 33591970 50387955 54961050 83979925 100775910 167959850 251939775 440054807 503879550 880109614 1320164421 2200274035 2640328842 4400548070 6600822105 11001370175 13201644210 22002740350 33004110525 66008221050