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66659895666 = 232721311515051
BaseRepresentation
bin111110000101001111…
…010100100101110010
320101001122100120002200
4332011033110211302
52043004413130131
650342332524030
74546615523100
oct760517244562
9211048316080
1066659895666
11262a7856271
1210b04320616
136394463160
14332519ac70
151b0228a2e6
hexf853d4972

66659895666 has 144 divisors (see below), whose sum is σ = 181127052288. Its totient is φ = 17561880000.

The previous prime is 66659895641. The next prime is 66659895671.

66659895666 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66659895594 and 66659895603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13194841 + ... + 13199891.

It is an arithmetic number, because the mean of its divisors is an integer number (1257826752).

Almost surely, 266659895666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66659895666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90563526144).

66659895666 is an abundant number, since it is smaller than the sum of its proper divisors (114467156622).

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

66659895666 is a wasteful number, since it uses less digits than its factorization.

66659895666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6227 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 72.

The spelling of 66659895666 in words is "sixty-six billion, six hundred fifty-nine million, eight hundred ninety-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1151 1274 1638 1911 2302 3453 3822 5051 5733 6906 8057 10102 10359 11466 14963 15153 16114 20718 24171 29926 30306 35357 44889 45459 48342 56399 65663 70714 72513 89778 90918 104741 106071 112798 131326 134667 145026 169197 196989 209482 212142 247499 269334 314223 318213 338394 393978 459641 494998 507591 590967 628446 636426 733187 742497 919282 942669 1015182 1181934 1378923 1466374 1484994 1885338 2199561 2227491 2757846 3217487 4136769 4399122 4454982 5813701 6434974 6598683 8273538 9652461 11627402 13197366 17441103 19304922 28957383 34882206 40695907 52323309 57914766 75578113 81391814 104646618 122087721 151156226 226734339 244175442 284871349 366263163 453468678 529046791 569742698 680203017 732526326 854614047 1058093582 1360406034 1587140373 1709228094 2563842141 3174280746 3703327537 4761421119 5127684282 7406655074 9522842238 11109982611 22219965222 33329947833 66659895666