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667667866338 = 2331161127145091
BaseRepresentation
bin10011011011101000001…
…10110010001011100010
32100211100220212211102000
421231310012302023202
541414340433210323
61230420011304430
766144301140114
oct11556406621342
92324326784360
10667667866338
1123817a117080
12a949474b116
134ac64b8b7c5
142445b2653b4
151257a860e43
hex9b741b22e2

667667866338 has 128 divisors (see below), whose sum is σ = 1658088161280. Its totient is φ = 197438472000.

The previous prime is 667667866331. The next prime is 667667866343. The reversal of 667667866338 is 833668766766.

It is not an unprimeable number, because it can be changed into a prime (667667866331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4529173 + ... + 4674263.

It is an arithmetic number, because the mean of its divisors is an integer number (12953813760).

Almost surely, 2667667866338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667667866338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829044080640).

667667866338 is an abundant number, since it is smaller than the sum of its proper divisors (990420294942).

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

667667866338 is a wasteful number, since it uses less digits than its factorization.

667667866338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145301 (or 145295 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 667667866338 in words is "six hundred sixty-seven billion, six hundred sixty-seven million, eight hundred sixty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 127 183 198 254 297 366 381 549 594 671 762 1098 1143 1342 1397 1647 2013 2286 2794 3294 3429 4026 4191 6039 6858 7747 8382 12078 12573 15494 18117 23241 25146 36234 37719 46482 69723 75438 85217 139446 145091 170434 209169 255651 290182 418338 435273 511302 766953 870546 1305819 1533906 1596001 2300859 2611638 3192002 3917457 4601718 4788003 7834914 8850551 9576006 14364009 17701102 18426557 26551653 28728018 36853114 43092027 53103306 55279671 79654959 86184054 97356061 110559342 159309918 165839013 194712122 202692127 238964877 292068183 331678026 405384254 477929754 497517039 584136366 608076381 876204549 995034078 1124019977 1216152762 1752409098 1824229143 2248039954 2628613647 3372059931 3648458286 5257227294 5472687429 6744119862 10116179793 10945374858 12364219747 20232359586 24728439494 30348539379 37092659241 60697078758 74185318482 111277977723 222555955446 333833933169 667667866338