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66838483866 = 237111513133061
BaseRepresentation
bin111110001111111000…
…100101001110011010
320101112002101210001110
4332033320211032122
52043341122440431
650412152401150
74554214511310
oct761770451632
9211462353043
1066838483866
1126389644220
1210b540a61b6
1363c246154b
143340ba80b0
151b12cb5346
hexf8fe2539a

66838483866 has 128 divisors (see below), whose sum is σ = 168356892672. Its totient is φ = 17184960000.

The previous prime is 66838483801. The next prime is 66838483871.

66838483866 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66838483797 and 66838483806.

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, 21833976 + ... + 21837036.

It is an arithmetic number, because the mean of its divisors is an integer number (1315288224).

Almost surely, 266838483866 is an apocalyptic number.

66838483866 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66838483866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84178446336).

66838483866 is an abundant number, since it is smaller than the sum of its proper divisors (101518408806).

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

66838483866 is a wasteful number, since it uses less digits than its factorization.

66838483866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548.

The product of its digits is 191102976, while the sum is 66.

The spelling of 66838483866 in words is "sixty-six billion, eight hundred thirty-eight million, four hundred eighty-three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 231 302 313 453 462 626 906 939 1057 1661 1878 2114 2191 3061 3171 3322 3443 4382 4983 6122 6342 6573 6886 9183 9966 10329 11627 13146 18366 20658 21427 23254 24101 33671 34881 42854 47263 48202 64281 67342 69762 72303 94526 101013 128562 141789 144606 202026 235697 283578 330841 462211 471394 519893 661682 707091 924422 958093 992523 1039786 1386633 1414182 1559679 1916186 1985046 2773266 2874279 3119358 3235477 3639251 5084321 5748558 6470954 6706651 7278502 9706431 10168642 10539023 10917753 13413302 15252963 19412862 20119953 21078046 21835506 30505926 31617069 35590247 40239906 63234138 71180494 73773161 106770741 144672043 147546322 213541482 221319483 289344086 434016129 442638966 868032258 1012704301 1591392473 2025408602 3038112903 3182784946 4774177419 6076225806 9548354838 11139747311 22279494622 33419241933 66838483866