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67666676 = 227111931373
BaseRepresentation
bin1000000100010…
…00001011110100
311201022211020012
410002020023310
5114310313201
610414155352
71451104640
oct402101364
9151284205
1067666676
1135217a80
121a7b2b58
131103276c
148db5c20
155e195bb
hex40882f4

67666676 has 96 divisors (see below), whose sum is σ = 160849920. Its totient is φ = 24105600.

The previous prime is 67666639. The next prime is 67666691.

67666676 is nontrivially palindromic in base 10.

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, 181226 + ... + 181598.

It is an arithmetic number, because the mean of its divisors is an integer number (1675520).

Almost surely, 267666676 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 67666676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424960).

67666676 is an abundant number, since it is smaller than the sum of its proper divisors (93183244).

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

67666676 is a wasteful number, since it uses less digits than its factorization.

67666676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

The square root of 67666676 is about 8225.9756868107. The cubic root of 67666676 is about 407.4974990751.

The spelling of 67666676 in words is "sixty-seven million, six hundred sixty-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 19 22 28 31 38 44 62 76 77 124 133 154 209 217 266 308 341 373 418 434 532 589 682 746 836 868 1178 1364 1463 1492 2356 2387 2611 2926 4103 4123 4774 5222 5852 6479 7087 8206 8246 9548 10444 11563 12958 14174 16412 16492 23126 25916 28348 28721 45353 46252 49609 57442 77957 80941 90706 99218 114884 127193 155914 161882 181412 198436 219697 254386 311828 323764 439394 508772 545699 878788 890351 1091398 1537879 1780702 2182796 2416667 3075758 3561404 4833334 6151516 9666668 16916669 33833338 67666676